Use two formulas for volume to find the volume of the figure. Express the answer in terms of x and then round to nearest whole number.

Use Two Formulas For Volume To Find The Volume Of The Figure. Express The Answer In Terms Of X And Then

Answers

Answer 1

Answer:

Volume of the figure = 341.3π + 1,280π = 1,621.33π

Volume of the figure to the nearest whole number = 1,621π m³

Step-by-step explanation:

The figure shown is composed of a hemisphere and a cylinder.

The volume of the figure = volume of hemisphere + volume of cylinder

Volume of the hemisphere = ⅔πr³

Radius (r) of hemisphere = 16/2 = 8 m

Volume of hemisphere = ⅔*π*8³ = ⅔*π*512 = 341.33π m³

Volume of Cylinder = πr²h

radius (r) = 16/2 = 8 m

height (h) = 20 m

Volume of cylinder = π*8²*20 = 1,280π m³

Volume of the figure = 341.3π + 1,280π = 1,621.33π

Volume of the figure to the nearest whole number = 1,621π m³


Related Questions

What is the value of z in the equation 5(2z+4)

Answers

Answer: z = -2

Step-by-step explanation:

5(2z + 4) = 0

10z + 20 = 0    [distributive property]

10z = -20   [carry over the 20]

z = -2    [divide]

10z+20 is the answer

help on picture 15 points

Answers

Answer:

2/3

Step-by-step explanation:

The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $435, what is the company's expectation? (Round your answer to the nearest dollar.)

Answers

Answer:

The value is  [tex]E(X) = \$ 421.6[/tex]

Step-by-step explanation:

From the question we are told that

The probability that a 22 year  old  female in US will die within one year is    p= 0.00044

The outcome if she dies within one year is that the company losses $30,000

Generally the probability that  a 22 year  old  female in US will live more than one year is

           [tex]q = 1 -p[/tex]

=>        [tex]q = 1 -0.00044[/tex]

=>        [tex]q = 0.99956[/tex]

The outcome if she lives more than one year is that the company gains $435

Generally the  the company's expectation is mathematically represented as

           [tex]E(X) = -30000 * p + 435 * q[/tex]

The negative sign shows that the company is loosing the fund

So  

       [tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]

=>    [tex]E(X) = \$ 421.6[/tex]

whats5666778877 x 81 + 1

Answers

Answer: 459009089038

Step-by-step explanation: I smart for a 3yrs old kid. And I don't even need a diAper but my 17 yrs old sister does so she weirdo...      

HEY, I also have good news. I JUST GOT POTY TRANED!! YA Boi.

HELP ME ANSWER THIS PLEASEEE!!

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Apply the fraction rule,

Divide the Numbers,

Factor the Number, then cancel the common factor!

Select three ratios that are equivalent to 5:2. Choose 3 answers:
А 2 : 5
B 10:4
C 20 : 50
D 35 : 14
E 55 : 22​

Answers

Answer:

B, E, D

Step-by-step explanation:

You just look for the ones that have the same factors as 5:2

Answer:

A

C

D

Step-by-step explanation:

if I'm not wrong, I'm sure is that

What is the length of the missing side of this triangle? *

Answers

Answer:

8.9

Step-by-step explanation:

- there are two given sides and its a right angle triangle so you can use pythagoras

- 12^2 = 8^2 + y^2

- rearrange

y = [tex]\sqrt{(12)^2 -(8)^2}[/tex]

y = 8.9

ratio of 5 to 2 total number of servers and cooks is 42 how many servers​

Answers

Answer:

30

Step-by-step explanation:

5 x 6 = 30

2 x 6 = 12

30+12 = 42

What is the percent?

32/80 = %/100​

Answers

Answer: 40% OUT OF 100

Which of the following is the graph of y = StartFraction 1 Over x + 2 EndFraction + 1?
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrant 1. The other curve opens down and to the left and it crosses the x-axis at (1, 0).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left and it crosses the x-axis at (negative 3, 0).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1, 2, and 4. It crosses the x-axis at (negative 1, 0). The other curve opens down and to the left in quadrant 3.

Answers

Answer: C

Step-by-step explanation:

Use the graph ln the left side.

The description of the graph of the function [tex]y = \frac{1}{x + 2} + 1[/tex] is the description (c)

How to determine the graph of the equation?

The equation is given as:

y = StartFraction 1 Over x + 2 EndFraction + 1?

Rewrite properly as:

[tex]y = \frac{1}{x + 2} + 1[/tex]

The above equation is the translated equation from an inverse function

The graph of the function pass through the points (0,1.5) and (-3,0)

Hence, the graph of f(x) = √x is (c) On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = -2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left, and it crosses the x-axis at (-3, 0).

Read more about functions at:

https://brainly.com/question/4025726

#SPJ2

Dennis wants to save $189 for a trip to an amusement park. He sets aside $14 of his allowance at the end of each week. How many weeks will it take him to save enough money for the whole trip?

Answers

Answer:

x = 13.5 weeks

Step-by-step explanation:

Since he wants to save $189 in total, that will be on one side of the equation by itself. You have to set this up in a y = mx + b equation. The y will be the 189. Since the word "each" goes with the number 14, that will be your m value. There is no value for b.

189 = 14x is your equation. The only step after setting up the equation is to divide 189 by 14. This gives you 13.5. Dennis will have to save up for 13.5 weeks.

Find the other endpoint of the line segment with the given
endpoint and midpoint: Midpoint = (8,-2) and Endpoint= (3,10).

Answers

Answer:The other endpoint is at  ( − 4 , 3 )

Explanation:

The line segment passing through  ( − 4 , 9 )  and  ( − 4 , 6 )

is a vertical line with the midpoint  3

units below the first point.

The other endpoint must be  3

further units below the midpoint i.e. at  ( − 4 , ( 6 − 3 )

Step-by-step explanation:

Sally is selling strawberries at the farmer’s market. She sells 5 boxes in the morning, and then sells half of the remaining boxes of strawberries by the end of the day. If Sally ended up with 9 boxes of strawberries left at the end of the day, how many boxes did she start with

Answers

Answer:

23 boxes

Step-by-step explanation:

x=5+9*2

Answer:

23

Step-by-step explanation:

I did this backwards.

Since we know that Sally ended up with 9 boxes of strawberries, and sold half of the remaining strawberries, she must've had 18 boxes. Adding the 5 boxes from the beginning gets us 18+5=23

You also could've wrote an equation.

x=boxes of strawberries

x the total amount of boxes in the beginning of the day

x-5 the 5 boxes she sold

(x-5)/2 half of the remaining boxes sold

(x-5)/2=9 the amount left

These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

Answers

9514 1404 393

Answer:

a = 6b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

  smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

__

Side A in the smaller triangle is ...

  A/15 = 4/10

  A = (4/10)(15) = 6

__

The ratio of larger to smaller is the inverse of the above ratio, so ...

  B/9 = 10/4

  B = (10/4)(9) = 22.5

For a science project, Daniel planted 51 flower seeds. Of those seeds, 12 did not grow at all. Of the seeds that did grow, 2/3 of them grew green tomatoes. How many green tomatoes grew?
a) 12
b) 8
c) 26
d) 13​

Answers

Answer:

C. 26

Step-by-step explanation:

According to the question,

Daniel planted 51 seeds.

12 seeds did not grow at all,

Therefore, the number of seeds that grew are 51-12= 39

Then, from the 39 seeds that grew, 2/3 of them are green tomatoes.

So, to find out how many green tomatoes grew, we solve

2/3 * 39= 26.

Therefore, the amount of green tomatoes are 26.

Sydney has $150 in her bank account. She buys a bike for $200. What is Sydney´s account balance now?

Answers

-50 because 150 minus 200 is negative 5

The distance traveled, D in feet, is a function of time, t, in seconds, with
D=f(t)= t 3 +1
​Find f(10), f'(10), and the relative rate of change f'/f at t=10. Interpret your answers in terms of distance travele

Answers

Answer:

1001 m/s

300 [tex]m/s^2[/tex]

0.299.

Step-by-step explanation:

Given that:

[tex]D=f(t)=t^3+1[/tex]

[tex]f(10)[/tex] means putting the value of [tex]t=10[/tex] in [tex]f(t)[/tex].

[tex]f(10) = 10^3+1=1001[/tex] [tex]m/s[/tex]

To find [tex]f'(10)[/tex], we need to find [tex]f'(t)[/tex] first.

Differentiating the equation of Distance [tex]D[/tex] w.r.to [tex]t[/tex]:

[tex]f'(t) = \dfrac{d}{dt}(t^3+1)= 3t^{3-1}+1 = 3t^2[/tex]

[tex]f'(10) = 3(10)^2=300[/tex] [tex]m/s^2[/tex]

Relative rate of change:

[tex]\dfrac{f'}{f}\ at\ t = 10 \Rightarrow \dfrac{300}{1001} \approx 0.299[/tex]

How do you multiple 14.5×6.5×6.5?

Answers

multiple 14.6 x 6.5 then multiply the answer to that by 6.5

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{How\ do\ you\ multiply\ 14.5\times6.5\times6.5?}[/tex]

[tex]\bullet\ \textsf{First you have to line up your decimals (If its easier for you break down the equation)}[/tex]

[tex]\mathsf{14.5\times6.5\times6.5}\\\mathsf{14.5\times6.5=\underline{94.25}}\\\mathsf{94.25\times6.5=\underline{612.625}}\\\\\boxed{\boxed{\mathsf{Thus, your\ answer\ is: \boxed{\boxed{\huge\text{\bf{612.625}}}}}}}\checkmark[/tex]

[tex]\mathsf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Show how to find the following product using a diagram
1/4 × 2/3​

Answers

Not to sure about this one. Maybe try google.

Answer:

3/3

Step-by-step explanation:

To attend the football game, it costs $8 for parking plus $59 per ticket. If Bryan paid $362, how many tickets did he purchase?

Answers

Answer:6 tickets

Step-by-step explanation:

X= number of tickets

59x+8= 362

59x= 362-8

59x= 354

X= 354/59

X= 6

Bryan bought six tickets, hope this helps!!!!

Which linear inequality is represented by the graph?
PLEAe help

Answers

Answer:

The answer to your problem is the last option

pls help Eithan needs to divide theese base ten blocks (9 ten blocks and 6 one blocks)



HOW MANY WOULD BE IN EACH GROUP?

Answers

Answer:

carrot

Step-by-step explanation:

give me brainlyist i never got it pls bt i have snap if you want im a girl

Explain how to find the slope of the line. And explain answer

Answers

Answer:

by using the slope incercept form: y=mx+b

this one is m=7/3 (m is the letter we use for the word slope btw) :)

Step-by-step explanation:

Divide the binomial by the monomial to find the quotient.

Answers

Answer:

9x²-36[tex]y^{5}[/tex]

Step-by-step explanation:

3. There are 156 students in an after-school program. The program director would like to split the
students into groups of equal sizes with no students left over. She wants at least 4 but no more
than 12 students in each group. Describe the possible number of groups and students in
each group.

Answers

Answer:

well you could do 26 groups of 6 people

Step-by-step explanation:

A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.

Answers

Dhaka 22 herbs sisjsn jabs and she

what is the difference of 1/5 - 3/4

Answers

Answer:

1/5 and 3/4 difference is —

-11/20

.............helppppppppppppppppppp

Answers

Answer:

what????????????????

Answer: I think its A

Step-by-step explanation: I think its A because it depends if its night for the light to flash on the window.

(Ill give brainliest, Pls help me! Also, Pls write at least 3 sentences to explain why. Ty :) )


67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.

Answers

Answer: it would be less

Step-by-step explanation: it is less because it is split into more pieces and it is not as big as 67,124

Which linear inequality is represented by the graph?

PLEASE HELP

Answers

Answer:

It would be c.

I hope that helps

Step-by-step explanation:

If you look at (0,0) you can see that if you go up two it will be right across second point.

Other Questions
Please I need help with this question.In the store Sara is shopping at, 1 cardboard box with glitter is $10 per box. The other type of cardboard box is $6 per box that has no design. If Sara spent $130, how much of boxes did she get (what type)? What quantity? I'll give you brainlest if you can solve this one! I need STEP, please read the question. 4Why does the value of money in a savings account increase over time?OA.because it earns interestB.because future value is always less than present valueO C.because future value is always equal to present valueOD.because it is not spentReset 1) The newly opened Mario's Trattoria is expected to produce a continuous income stream at the rate ofR(t) = 130,000dollars/year for the next 3 years. If the prevailing interest rate is 3.6%/year compounded continuously, find the future value of this income stream. (Round your answer to two decimal places.)2) Suppose an investment is expected to generate income at the rate ofR(t) = 200,000dollars/year for the next 9 years. Find the present value of this investment if the prevailing interest rate is 8%/year compounded continuously. (Round your answer to two decimal places.)3) Camille purchased a 14-year franchise for a computer outlet store that is expected to generate income at the rate ofR(t) = 400,000dollars/year. If the prevailing interest rate is 10%/year compounded continuously, find the present value of the franchise. (Round your answer to the nearest whole number.) The volume of blood pumped from your heart varies directly with your pulse rate. Each time your heart beats it pumps 0.06 liter of blood. 1. Write an equation that relates the volume of blood and pulse.2. If your pulse is 74 bpm, how much blood is being pumped from your heart each minute? Find the slope of the line that passes through (-3,4) and (-2,-8) In Venezuela it is common to have how many wedding ceremonies? 0 3 2 1 Raising the temperature of a gas will increase its pressure if the volume of the gas what are the best tips to have long healthy hair faster?girls i need ya help Find the smallest natural number that is a multiple of 45 and where all of its digits are zeros and ones. Write an equation of a vertical line that contains the point (-2,5) ex.What is the measure of angle K?11O 25O 50O 65 Anyone need advice on how to come out? Answer if so. LGBTQ+ peeps only answer. Meredith borrows $12,560 and pays 2 percent simple interest each year for 4 years. What is the total amount of interest that she will pay on the loan?$251.20$1,004.80$11,555.20$13,564.80 Based on the descriptions, determine whether the individuals follow the Theravada or the Mahayana form of Buddhism.Kais Buddhist practiceis dominant in countriessuch as Japan and Korea.Carols Buddhist practiceis reserved for nunsand monks.Rakesh follows thetraditional teachingsof the Buddha himself.Cali follows the largestbranch of Buddhismthat exists today. Sarah joined an online music store. She wants to spend no more than $75 at the musicstore. The cost of her yearly membership is $15.99 and the price to download a song$0.79. What number of songs can Sarah download and stay within her budget. Solve 9(8x + 5) + 7 if x = 0.25.pls help Please help Im Stuck 2x+y =8 and y=x-7 solve by substitution Has to be a number