Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the x- axis.
y = Sqrt x , y = 0, and x = 81
V = ? (Type an exact answer in terms of pi)

Answers

Answer 1

Answer:

[tex]V=47239.2\pi [/tex]

Step-by-step explanation:

We are given that

[tex]y=\sqrt{x}[/tex]

y=0

[tex]x=81[/tex]

When y=0 then x=0

Using shell method

Volume of solid

[tex]V=2\pi \int_{a}^{b}xf(x)dx[/tex]

Using the formula

Volume of solid

[tex]V=2\pi \int_{0}^{81} x(\sqrt{x})dx[/tex]

[tex]V=2\pi \int_{0}^{81}x^{\frac{3}{2}}dx[/tex]

[tex]V=2\pi [\frac{2}{5}x^{\frac{5}{2}}]^{81}_{0}[/tex]

[tex]V=2\pi\times \frac{2}{5}((81)^{\frac{5}{2}})[/tex]

[tex]V=47239.2\pi [/tex]


Related Questions

Quick answers please!!!

Answers

Answer:

Step-by-step explanation:

The higher the frequency, the higher the pitch.

so it 10000 Hz

Answer:

10,000 Hz

Explanation:

Pitch is directly proportional to frequency . Hence, 10,000 Hz has a highest pitch.

Ms. Parker earns $5 per hour babysitting. She already had $2 before she started. How
many hours does she have to babysit to have $22?

Answers

Answer:

4 hours

Step-by-step explanation:

simply multiply

HELPP ME PLEASE I’ve been here 3 hours trying to figure this thing out

Answers

Answer: 32 sq.cm

Step-by-step explanation:

If you think of it as there being 2 squares instead of 1, you can think well since the whole one side of the rectangle is 8cm and the half side is 4 then that must mean that the other square that you just divided up must be 3 by 4 so then you can multiply those and get 12 and you do the same for the other one which would be 4 by 5 and when you multiply those you will get 20 and when added you get 32. Hope this helps :)

Answer:

32 sq

Step-by-step explanation:

A

A=LXW

A=3X8

A=24

B

A=LXW

A=4X2

A=8

24+8=

Find m\angle Am∠Am, angle, A.
Round to the nearest degree.

Answers

Answer:

m∠A = 106°

Step-by-step explanation:

All three sides of the triangle are given in the question.

To find the measure of included angle A between two sides we will apply cosine formula,

BC²= AB² + AC² - 2(AB)(AC)cosA

(13)² = (10)² + (6)² - 2(10)(6)cosA

169 = 100 + 36 - 120cosA

cosA = [tex]\frac{-169+136}{120}[/tex]

cosA = -0.275

A = [tex]\text{cos}^{-1}(-0.275)[/tex]

A = 105.96°

A ≈ 106°

Therefore, m∠A = 106° will be the answer.

At the annual fair in Springfield, the entrance fee $20 and every ride requires a $3
ticket. If Bob wants to spend between $32 and $53 at the fair, what is the inequality
that correctly describes how many rides he can go on (x is the number of rides he can
go on)?
a. 4 b. 4 c. 10 d. 10

Answers

D. X = 10 rides that Bob can ride

Use the distributive property to remove the parentheses.
6c5(2c2-9)
Simplify your answer as much as possible.

Answers

Answer:

[tex]12c^{7} -54c^{5}[/tex]

Step-by-step explanation:

Answer:

is that a among us code ok let me join

Question 2
1 pts
if two dice are rolled, what is the probability that the sum of the dots on the upward is 10

Answers

Ways to make 10:

Dice 1 and dice 2
4 and 6
5 and 5
5 and 5
6 and 4

6 x 6 is 36 possibilities

4/36 = 1/9

f(x) = 2x2
Find f(-6)

Answers

Is it 2 times x squared (2x^2?

2 * 6^2
2 * 36
72

Linear function whose graph has a slope of 7

Answers

Answer:

y=7x?

Step-by-step explanation:

just a slope of 7 here, but you could add some # like y=7x+4

Answer:

y=7x

let me know if it helps thanks

The cone holds 12 cubic inches of grout. When the container below is fullit will hold____cubic inches.

Answers

Answer:

brainliest?

Step-by-step explanation:

the amount of space taken up by the cylinder, measured in cubic units ... A cylindrical container is used to hold water. It has a diameter of 30 ... A brand new filled can of chicken broth is 10 cm tall and has a radius of 10 cm. Mishka ... Isabella's Ice Cream Parlor uses waffle cones that are 5 inches in diameter and 6 inches tall.

How many square feet of outdoor carpet will
we need for this hole?
?
3 ft
Ift
2 ft
4 ft
2 ft
12 ft

Answers

Answer:

40 sq feet

Step-by-step explanation:

(im bad at explaining)

1 x 2 = 2 sq ft

3 x 2 = 6 sq ft

4 x 12 = 48 sq ft

2 sq ft + 6 + sq ft = 8 sq ft

48 - 8 = 40

The amount of outdoor carpet needed = area of the largest rectangle in the image - (area of medium rectangle + area of the smallest rectangle) = 40 ft².

What is the Area of a Rectangle?

Area of a rectangle = lenght × width.

The amount of square feet of outdoor carpet needed = area of the largest rectangle in the image - (area of medium rectangle + area of the smallest rectangle)

The amount of square feet of outdoor carpet needed = 12 × 4 - (3 × 2 + 2 × 1)

The amount of square feet of outdoor carpet needed = 48 - (6 + 2)

The amount of square feet of outdoor carpet needed = 40 ft²

Learn more about area of a rectangle on:

https://brainly.com/question/25292087

#SPJ5

Please help me?!!!!!!

Answers

Answer:

It is easy

Step-by-step explanation:

1)100%=120kg

so 50%=120/50

=60kg

2)100%=120

so 25%

=120/25

=30kg

Mark as brainliest if it reallly helped you

9) You want to rent a car from Shiny Car Rental. It will cost you a flat fee of $20 plus
$0.17 per mile. What expression would you use to find the total cost in dollars for
driving x miles?

Answers

Answer:

Step-by-step explanation:

y = 0.17x + 20

3/4 + 1/3x = 6 Solve for x

Answers

Just subtract 3/4 from both sides that divide 1/3 and x to get your answers

[tex] \frac{3}{4} + \frac{1}{3}x = 6 [/tex]

Multiply both sides of the equation by 12

[tex]9 + 4x = 72[/tex]

Move constact to the right-hand side and chancge it's sign.

[tex]4x = 72 - 9[/tex]

Subtranct the numbers

[tex]4x = 63[/tex]

Divide both sides the equation by 4

Solution:

[tex]x = \frac{63}{4} [/tex]

Alternate Form:

[tex]x = 15 \frac{3}{4} x = 15.75[/tex]

what kind of coin is this? i found it on the sidewalk:

Answers

Answer:

is that a nickel? i cant see it well

Answer:

its Eisenhower one dollor coin. its a pretty pog coin ngl

Step-by-step explanation:

What is the volume of the prism below?

A prism has a length of 1, height of 1 and three-fourths, and width of 2.
2 and three-fourths units3
3 and one-half units3
5 units3
8 units3

Answers

Answer:

it is c

Step-by-step explanation:

5 units 3 i think

Answer:

Its B (3 1/2)

Step-by-step explanation:

90 divided by 3 + ( 3 - 2 ) - 20.

Answers

Answer:

11

Step-by-step explanation:

first 3-2=1 the divide 90 by 3 then add the 1 the subtract that by 20 and you will get 11

The result of the expression 90 divided by 3 plus the quantity (3 minus 2) minus 20 is 11.

To evaluate the expression 90 divided by 3 + (3 - 2) - 20, we can follow the order of operations (also known as PEMDAS/BODMAS), which stands for Parentheses/Brackets, Order/Exponents, Division/Multiplication, and Addition/Subtraction:

First, let's simplify the expression within the parentheses:

3 - 2 = 1

Now we can substitute the simplified expression back into the main expression:

90 ÷ 3 + 1 - 20

Next, perform the division:

90 ÷ 3 = 30

Now we have:

30 + 1 - 20

Next, perform the addition:

30 + 1 = 31

Finally, perform the subtraction:

31 - 20 = 11

Therefore, the value of the expression 90 divided by 3 + (3 - 2) - 20 is 11.

To know more about expression, refer here:

https://brainly.com/question/34132400

#SPJ6

the square root of 7 is between which of the following pair of number?

A.2 and 3
B.3 and 4
C.4.5 and 5.5
D.9 and 10​

Answers

Answer:

A. 2 and 3

Step-by-step explanation:

The square root of 7 is 2.7 which makes it between 2 and 3.

Answer:

A

Step-by-step explanation:

because the square root of 4 is 2

and the square root of 9 is 3

since 7 is in between 4 and 9 the square root is in between 2 and 3

25x + 15y=17
25x + 15y=305$



Neee answer ASAP

Answers

Answer:

1st. Problem

Let's solve for x.

25x+15y=17

Step 1: Add -15y to both sides.

25x+15y+−15y=17+−15y

25x=−15y+17

Step 2: Divide both sides by 25.

25x/25 = -15y+17/ 25

x equals...

x= -3/5 y + 17/25

2nd. Problem

Let's solve for x.

25x+15y=305

Step 1: Add -15y to both sides.

25x+15y+−15y=305+−15y

25x=−15y+305

Step 2: Divide both sides by 25.

25zx/25 = -15y305/25

x equals...

x = -3/5 y + 61/5

5th grade math. Correct answer will be marked brainliest.

Answers

Answer:

0.065

Step-by-step explanation:

64.9 / 1000 = 0.0649 --> 0.065

Answer:

15.406 kg of sugar per muffin. Just have to divide 1,000 by 64.9

Step-by-step explanation:

Joanna has a total of 50 coins in her purse.
The coins are either dimes and quarters.
The total value of the coins. $7.10

Answers

Answer:

A. n+q+50

0.05n+0.25q=7.10

Step-by-step explanation:

Hope this helps :)

Answer:

what r we looking for? to answer

Step-by-step explanation:

7.10/50 = 0.142

3/4 is 60% of what number?

Answers

3/4 is 60% of 45.

[tex] \frac{60}{1} [/tex]

[tex] \frac{3 \times 60}{4 \times 1 } = \frac{180}{4} [/tex]

[tex] \frac{180}{4} = 45 \\ \frac{4}{4} = 1[/tex]

[tex] \frac{45}{1} = 45[/tex]

Answer:

10/8 or 1.25

Step-by-step explanation:

We can write this into an equation to help us understand what we need.

3/4=0.60x

We can make these both into fractions to make it easier.

3/4=6/10x

Divide both sides by 6/10, or multiply both sides by 10/6.

3/4×10/6=30/24=10/8=1.25

10/8=x

Help help help plzzzz

Answers

Answer:

2.5824 × 10⁶

204/5.3 = 38.49056. Round to 38.49

Step-by-step explanation:

scientific notation

1.20 × 2.152 = 2.5824.

Answer:

1. 2.58

2. 39

Step-by-step explanation:

Exercise 1.6 introduces a study on the relationship between socio-economic class and unethical behavior. As part of this study 129 University of (California Berkeley undergraduates were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. They were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. After completing some unrelated tasks, participants reported the number of candies they had taken. It was found that those who were identified as upper-class took more candy than others.
A. Identify the population of interest and the sample in this study.
B. Comment on whether or not the results of the study can be generalized to the population, and if the findings of the study can be used to establish causal relationships.

Answers

Answer:

(A) Population: UCB undergraduates

Sample: The selected 129 UCB undergraduates

(B) Yes, they can be generalized to the population

No, the findings of this single study cannot be used to establish causal relationships between socio-economic classes and unethical behaviors.

Step-by-step explanation:

STUDY: Relationship between socio-economic class and unethical behavior.

The bases for determining social class here are:  money, education, and respected job.

RESULT: Those who identified as upper class took more candy than others.

(A) Identify the population of interest and the sample, in this study.

The population of interest in this study is UCB undergraduates.

The sample in this study is the 129 UCB undergraduates who were selected and who agreed to take part in the experiment. They were the participants who were divided into the two social classes before the experiment was conducted.

(B) The results of the study can be generalized to the population of UCB undergraduates since it's likely that the results would be same in another group of 129 UCB undergraduates.

The findings or results of the study cannot be used to establish causal relationships unless the study is conducted in more universities and majority of the results are same with this.

For a normal distribution, what z-score value separates the lowest 25% of the scores from the rest of the distribution

Answers

Answer:

Z = -0.675.

Step-by-step explanation:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

What z-score value separates the lowest 25% of the scores from the rest of the distribution

This is Z which has a pvalue of 0.75, so Z = -0.675.

Write an expression that is equivalent to
za
1
a - 4.
1
a
4 =
?
(
|
?

Answers

Answer:

½a - 4 = ? ( a - ?)

1a - 8 = -7a ( a - ?)

= ( a- 7a)

= ( -6a)

All_______have moveable spines that they use for protection. on edge

Answers

hello,

you didn't put an answer option, and the only thing this is reminding me of is, A sea cucumber.

All Sea Cucumbers have moveable spines that they use for protection, on edge.

Answer:

///

Step-by-step explanation:

Animals

Convert each of mixed number to an improper fraction

Answers

Answer:

Top, a through d:

A) 23/8

B) 29/6

C) 23/3

D) 16/5

Step-by-step explanation:

To make the proper fraction improper, first, multiply the whole number by the bottom number in the fraction, then add whatever number was on top of the fraction, so for A, multiply 2 (whole number) by 8 (number on the bottom of the fraction), then add 7 (number on top of the fraction)

Find the greatest common factor of these three expressions.
70u, 30u)
and 20u?

Answers

Answer:

70 ÷ 10 = 7

30 30 ÷ 10 = 3

20 20 ÷ 10 = 2

Step-by-step explanation:

If you know that a < b, and both a and b and positive numbers, then what just be true about the relationship between the opposites of these numbers? Explain.​

Answers

Answer:

-a > -b

Step-by-step explanation:

On a number line, every number (except zero, the origin) has both a magnitude and a direction (left or right, negative or positive).

The magnitude is how far the number is from the origin. 10 is further from zero than 6 is. And -10 is alos further from zero than -6 is.

If a < b and a,b are both positive, that means a and b are both on the right-hand side of the number line, and a is closer to the origin than b. The magnitude of a is smaller than that of b.

So if we switch the sign son both a and b, they both become negative and go over to the left-hand side of the number line. But their magntidues do not change, so a is still closer to the origin than b. Since b is now a negative number, further to the left than a, it is smaller than a.

Example: let a = 3 and b =5.  

It is true that 3 < 5.

But it is NOT true that -3 < -5. It's the other way around!

-5 < -3

So, if a < b, then -a > -b.

I hope this brainliest, for 5 stars.

Other Questions
What was the main goal of Reconstruction?A)To restore the South to the Union as quickly as possibleB)To establish Northern control over the SouthC)To ensure the South paid off all its war debtsD)Integrate African Americans fully into Southern society I need help plz quickly Cuantos ml debe aplicar de gentamicina para administrar una dosis de 50 mg si la presentacion es de 80 mg/3ml The genetic code is said to be universal. Which of the following lines of evidence would best support this idea?Data that indicate that the genetic code changes frequently.Data that are inconclusive about the nature of. the genetic code. Data that indicate that some organisms use one or more alternate codes. Data that indicate that the genetic code is the same in all organisms tested so far. Answer please I would appreciate it :) How does Reverend Hale help determine if citizens are truly committed to God? What fraction is equivalent to 3/4 divided by 1/6? Find the unit rates and write them in bothfraction form and word form.Helena runs 10 miles in two hours.IIplease help what is the slope of the line that passes through the points (5,9)and (-3,9). Estimate 40 to the nearest tenth. *A. 6.9B. 6.3C. 7.1D. 5.7 To the nearest tenth, what is the circumference of a circular pond with a radius of 14 meters? Use 3.14 for . Write an expression that is the product of two factors and is equivalent to - 4x 20. The most recent financial statements for Bello Co. are shown here: Income Statement Balance Sheet Sales $ 18,900 Current assets $ 11,700 Debt $ 15,700 Costs 12,800 Fixed assets 26,500 Equity 22,500 Taxable income $ 6,100 Total $ 38,200 Total $ 38,200 Taxes (21%) 1,281 Net income $ 4,819 Assets and costs are proportional to sales. Debt and equity are not. The company maintains a constant 30 percent dividend payout ratio. What is the internal growth rate? (Do not round intermediate calculations and enter your answer as a percent rounded 2 decimal places, e.g., 32.16.) Given: isoceles ABC, median BD to base AC Prove: ADBCDB Since the United Kingdom (UK) joined the European Union (EU) they gave up some control over rules in their countryFalseorTrue (otherwise / SO) he could not lift it.10.Altrough_ (Therefore / Although he was very(Therefore / Although) he was very tired, he could not sleep.Exercise 3 : Complete the following paragraph using conjunctions:Sarawak is a beautiful place (i)lies almost on the Equator. It hasEn equatorial climate (ii)that does not mean it is extremely hotii)heavy rains fall almost every afternoon (iv)louds prevent the sun from heating the ground too intensely.Sarawak is rich in natural resources notably in the interior (V)ere are huge reserves of hardwood timber. Sarawak is also an oil producer. Greatorts are being made to conserve these resources (vi)come will be able to benefit. Sarawak has been part of the Federation of Malaysia1963.generationslish Grammar-6122 Evie is calling 10 random voters to talk to them about what their most important issues are in the upcoming election. She wants to have an in-depth conversation with each of them so she can bring back some ideas to the candidates. What type of research is Evie conducting?- Interview- Case Study- Naturalistic Study- Sample All of the following would be commercial uses of art except how has human activity led to the destruction of the ozone layer? Organisms that are made up of prokaryotic cells are NOT ____________.Question 3 options:BacteriaMulticellularSimpler than organisms made up of Eukaryotic celled organismsAll of these are true about prokaryotic cells