The lengths of the legs of a right triangle are 4 cm and 6 cm. If the triangle is rotated about one of its legs to create a right
circular cone, find the volume of the cone of greatest volume. Round to the nearest tenth. Show your work (4 points)

Answers

Answer 1
If you rotate about the leg of length 4 then the radius of the base of the cone is 6 and the height is 4.
Volume of a cone is V=1/3*pi*r^2*h
V=1/3*pi*6^2*4
=1/3*pi*36*4
=pi*48
=150.8 cm^3

To make sure that is the greatest volume we can figure the other cone.
If you rotate around the leg of length 6 your radius will be 4 and your height will be 6.
V=1/3*pi*4^2*6
V=100.5 cm^3



Related Questions

i dont know plz help :(

Answers

Answer:

45%

Step-by-step explanation:

27/60 = x/100

Solve for x

x = 45

Evaulate 9÷3[(20-7) -2to the power of 2]

Answers

Answer:

27

Step-by-step explanation:

Evaulate 9÷3[(20-7) -2to the power of 2]

9÷3[(20-7) - 2²]

9 ÷ 3 = 3

[(20-7) - 2²] = (13 - 4) = 9

Hence ;

9÷3[(20-7) - 2²]

3(9)

= 27

If A is a 2x2 matrix and B is a 2x1 matrix, what is the dimension of AB?

Answers

Answer:

2x2 matrix

Step-by-step explanation:

Given

Dimension of matrices A = 2x2 matrix

Dimension of matrices B = 2x1 matrix

The dimension of matrix AB can be gotten by cancelling the row of matrices 1 and column of matrices 2.

After cancelling both row and column, the remaining dimension will be 2x2 matrix. Hence the dimension of AB is 2x2 matrix

SOMEONE PLZZZ HELP ME THIS IS DUE IN LIKE 5 MINS (I WILL MARK BRAINLIEST)

Answers

Answer:

1) x = 8

2) ∠RPS = 36°

Step-by-step explanation:

GIVEN :-

∠QPS = 180°∠QPR = 7x + 88∠RPS = 3x + 12

TO FIND :-

Value of xMeasure of ∠RPS

FACTS TO KNOW BEFORE SOLVING :-

In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.

PROCEDURE :-

1)

Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.

⇒ ∠QPR & ∠RPS are linear pair.

⇒ ∠QPR + ∠RPS = 180°

⇒ 7x + 88 + 3x + 12 = 180°

⇒ 10x + 100 = 180

⇒ 10x = 180 - 100 = 80

x = 80/10 = 8

2)

x = 8. So,

∠RPS = 3×8 + 12 = 24 + 12 = 36°

May 18, 11:05:10 PM When Jace runs the 400 meter dash, his finishing times are normally distributed with a mean of 81 seconds and a standard deviation of 1.5 seconds. Using the empirical rule, what percentage of races will his finishing time be between 79.5 and 82.5 seconds?​

Answers

Answer:

68% of races will his finishing time be between 79.5 and 82.5 seconds

Step-by-step explanation:

Mean time = 81 seconds

Standard deviation = 1.5 seconds

According to the empirical rule : 68%, 95%, 99% lies within 1, 2, and 3 standard deviations of the mean respectively.

Hence, for a finishing time between : 79.5 and 82.5

79.5 = 81 - 1.5 (1 standard deviation to the left of the mean)

82.5 = 81 + 1.5 (1 standard deviation to the right of the mean)

Hence,

79.5 and 82.5 lies within 1 standard deviation from the mean and it is Hence has a percentage of 68%

What is the sum of the series?
5
Σ (3k)^2
k=1
Enter your answer in the box.

Answers

Answer:

495

Step-by-step explanation:

Solve and reduce to lowest terms:
6 / 11 x 1 / 3

Answers

Answer:

2/11

Step-by-step explanation:

6/11 x 1/3 =

6/33 =

2/11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

2/11 as a fraction

0.18 as a decimal

Step-by-step explanation:

Please help me, there is a screenshot of the question below

Answers

Answer:

3?

Step-by-step explanation:

Help!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Maybe try 1200?

I NEED THIS ANSWER ASAP


The capacity of a pitcher is 5 quarts 2 cups. Right now, it contains 1 quart 3 cups of liquid. How much more liquid can the pitcher hold?


and also answer this too

5 quarts 2 cups − 1 quart 3 cups = ?


thx for helping

Answers

Answer:

3 quarts and 3 cups

Step-by-step explanation:

4 cups=1 quart

Capacity: 5x4+2=22 cups

Right now 1x4+3=7

22-7=15 cups

12/4 +3

3 quarts and 3 cups more

i need help lololololololololololololololol

Answers

Answer:

First Blank: 4*2 = 8

Second Blank: 6*2 = 12

Step-by-step explanation:

The common ratio for the right row is the number thats given on the opposite side of it's left row times 2

Hope this helps!

Answer:

I have no clue my guess tbh 4 to 8 and 6 to 12

Solve y=f(x) for x. Then find the input when the output is – 3.
f(x) = 1/2x-3
x=
The input is
when the output is -3.

Answers

Given:

[tex]y=f(x)[/tex]

[tex]f(x)=\dfrac{1}{2}x-3[/tex]

To find:

The input when the output is – 3.

Solution:

We have,

[tex]f(x)=\dfrac{1}{2}x-3[/tex]

Substituting [tex]f(x)=y[/tex], we get

[tex]y=\dfrac{1}{2}x-3[/tex]               ...(i)

We need to find the input when the output is – 3. It means, we have to find the value of x when [tex]y=-3[/tex].

Putting [tex]y=-3[/tex] in (i), we get

[tex]-3=\dfrac{1}{2}x-3[/tex]

[tex]-3+3=\dfrac{1}{2}x[/tex]

[tex]0=\dfrac{1}{2}x[/tex]

Multiply both sides by 2.

[tex]0=x[/tex]

Therefore, the input is 0 when the output is -3.

The lateral area of a cone is 558 pi cm^2. The radius is 18 cm. Find the slant height to the nearest tenth

Answers

Answer:

31.

Step-by-step explanation:

π(18)l = 558π

l = 558/18 = 31

Therefore the answer is 31.

what is the line of symmetry and the vertex in this table?

Answers

Answer:

the line of symmetry is (-1,0) and the vertex is (0,4)

Step-by-step explanation:

I like to plug in all of my coordinates into a graphing calculator in order to find the answer.

Hope this helps...

A truck driver drives at an average rate of 43 miles per hour.
At this rate, how many miles will he drive in 11 hours?

Answers

So it’s 43 times 11 which is 473

Answer: Hello: ) ✨473 miles

Step-by-step explanation:

43 mph for 11 hours = 43×11 = 473

Chloe ate 34 burrito. Lucy ate 3 burrito. How much more
burrito did Chloe eat than Lucy? Show your work and explain
No

Answers

Step-by-step explanation and Answer:

First, write statements! Then find out the operation. Very simple!

Number of burritos Chloe ate: 34

Number of burritos Lucy ate: 3

Number of burritos Chole ate more that Lucy: 34-3= 31

= Chloe ate 31 burritos more that Lucy.

She ate 31 because if you get 34 and 3 do this with them 34-3=31 and that’s how you get the answer

Please help please help

Answers

Answer:

41

Step-by-step explanation:

The sum of the angles of a triangle is 180

Let the unknown angle be x

94+45+x = 180

Combine like terms

139 +x = 180

Subtract 139 from each side

139+x-139= 180-139

x =41

1.6.4 the leaky faucet

Answers

Answer:

wot

Step-by-step explanation:

How many fluid ounces are in 12 1/4 cups

Answers

Answer:

98 fluid ounces are in 12 ¼ cups

Answer:

The answers 98

Step-by-step explanation:

i took the quiz

-
A summer camp has 492 campers who will be going on an outing. Estimate the number of vans needed to accommodate the entire camp if each van can comfortably
hold 12 passengers. Then calculate the actual number of vans that will be needed.

Answers

Answer: 41 vans will be needed.

Step-by-step explanation:

There are a total of 492 campers. We know that each van can hold a total of 12 passengers.

So, simply divide 492 by 12 to get the total amount of vans needed.

492/12 = 41 vans.

The bowling team at Lincoln High School must choose a president, vice president,
and secretary. If the team has 12 members, how many ways could the officers be
chosen?

Answers

Answer:

The officers can be chosen in 1320 ways.

Step-by-step explanation:

The order in which the officers are chosen is important(the first is president, second vice president and third secretary) which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

3 officers from a set of 12. So

[tex]P_{(12,9)} = \frac{12!}{9!} = 1320[/tex]

The officers can be chosen in 1320 ways.

HELP PLSSSS I WILL GIVE A BRAINLY AND 20 POINTS!!

Answers

Answer:

y=x-4 or f(x)=x-4

Step-by-step explanation:

therefore, x=1 ,y=-3; x=2, y=-2 ; etc

The cone in the figure above has a volume of 72 cubic ​centimeters and a height of 6 centimeters. ​ ​What is the radius of ​the base of the cone, in centimeters?  ​

Answers

It has to be at least 12

Rewrite the given parametric equations in Cartesian from x(t) = 2t– 1 y(t) = 5t

Answers

Hi there!

[tex]\large\boxed{(-\frac{5}{3},-\frac{5}{3})}[/tex]

We can begin by setting the two expressions equal to solve for t:

2t - 1 = 5t

Subtract 2t from both sides:

-1 = 3t

Divide both sides by 3:

t = -1/3

Plug in this value of t into x(t) and y(t):

x(-1/3) = 2(-1/3) - 1 = -2/3 - 1 = -5/3

y(-1/3) = 5(-1/3) = -5/3

Thus:

(-5/3, -5/3) are the corresponding coordinates.

Find the surface area of the prism.
1) What is the area of the bases?
2) What is the area of the lateral faces?
3) What is the surface area for the prism?
~Rules~
a. SHOW WORK
b. NO SILLY ANSWER
c. NO LINKS/WEBSITES/FILES!
Lastly, I will give Brainliest to the best answer and whoever follows the rules!
~Hocus Pocus

Answers

Answer:

Area Base = 6 ft²

Area Lateral = 48 ft²

Surface Area = 60 ft²

Step-by-step explanation:

Area of the Base:

2 x 3 = 6 ft ²

Area lateral =

4 x ( 3 x 4) = 4 x 12 = 48 ft²

Surface Area =

6 ft² + 6ft² + 48 ft² = 60 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Cassie has a small cube-shaped box. Its volume is 64 cubic centimeters.
What is the area of one face of the box? Enter your answer in the box.


*I will give you 48 POINTS AND BRAIN-LEST*

Answers

Volume of the box is 64 cm³
We have to find the area of one face of the box.
Let one side of the box is x
Then volume = x³ = 64
x³ = 4³
x = 4
Now area of one face of the cube = x²
then area = 4² = 16 cm² so the answer is 16 cm2

A school guidance counselor is researching the number of high school students who have a part-time job. She emails a survey to 500 students that contains the question "Given that studies show that holding a part-time job helps with college admissions, do you have a part-time job or want a part-time job?” Select the type of bias most likely to affect the results of the survey.
Response bias
Nonresponse bias
Question wording bias
Undercoverage bias

Answers

Answer:

C is the answer (Question wording bias)

Step-by-step explanation:

I Just did this assignment on edge

Answer:

Question wording bias.

Step-by-step explanation:

I got it correct.

DO THE ATTACHMENT PLEASE IT IS DUE IN LESS THAN 10 MINUTES, OR I GET A PHONE CALL HOME. I WILL GIVE BRAINLEST TO ANYONE WITH THE RIGHT ANSWER

Answers

Just pretend it’s a 3d right angle triangle and find the length of the hypotenuse.

d = sqrt(6^2 + 10^2 + 15^2) = 19

Emi tried on 8 fewer costumes than Nikil. Emi tried on 4 costumes. How many costumes did Nikil try on?

Answers

Answer:

The answer is 12.

Step-by-step explanation:

It's just 4 + 8.

Since Emi tried on 8 fewer costumes than Nikil, you just have to add the number of costumes Emi tried on by 8.

Can someone help please?

Answers

Answer

for number 6 it should be 459

Step-by-step explanation:

Remember you always multiply the numbers for a easy way or method u can use LxWxH=V. Lengh x Width x Height=Volume

Im so sorry if its wrong

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