Question

Suppose that a sphere with radius 5a has the same volume as a cone of radius 3a. What is the height of the cone? Give your answer in terms of a. Use the formulas (Posted below) for the volume of a sphere and cone respectively.

Answer 1

(a) is a variable right?

Answer 2

yes

Answer 3

http://openstudy.com/updates/50607dbde4b02e139410ce3c

Answer 4

But I need someone to show me how to solve it step by step

Answer 5

Guys before I explain anything but is the height of the cone is 11.08

Answer 6

U mean you don't understand this from the prior question?

"cancel pi and 3, and put r=3a for cone and r= 5a for sphere
solve for h"

Answer 7

I am just asking whether the answer is 11

Answer 8

I dont know how to solve for h

Answer 9

@Faris_Waleed Yes, I am asking the question poster...

Answer 10

The answer will be in terms of a

Answer 11

OK, we have

4/3 * pi * r^3 = 1/3 * pi * r^2 * h and we can cancel pi and 3 ->

4* r^3 = r^2* h

Ok up to here?

Answer 12

yes

Answer 13

Now we put 5a and 3a in for the "r's"

4*(5a)^3 = (3a)^2 * h

OK?

Answer 14

yes im right with you

Answer 15

So

h = 4* (5a)^3 /(3a)^2 = 600a^3 / 9a^2 = 200a/3 Done.

Answer 16

ok can you help me choose the answer now cause what you wrote i dont see on my paper

Answer 17

Wait a minute , it is 500 n ot 600

Answer 18

h = 4* (5a)^3 /(3a)^2 = 500a^3 / 9a^2 = 500a/9 Done.

Answer 19

A. 9/500a
B. 500/9a^2
C.9/500a^2
D. 500/9a

Answer 20

I already did it above...