SOLUTION: A cone and a cylinder have the same volume and the same base radius. If you are given only the height of the cylinder, is it possible to figure out the height of the cone? If so,

Algebra ->  Volume -> SOLUTION: A cone and a cylinder have the same volume and the same base radius. If you are given only the height of the cylinder, is it possible to figure out the height of the cone? If so,       Log On


   

Question 269018: A cone and a cylinder have the same volume and the same base radius. If you are given only the height of the cylinder, is it possible to figure out the height of the cone? If so, how would you figure it out
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A cone and a cylinder have the same volume and the same base radius.
If you are given only the height of the cylinder, is it possible to figure out the height of the cone?
If so, how would you figure it
:
The height of the cone would have to 3 times the height of the cylinder
:
We can illustrate this
Let h = height of the cylinder
Let 3h = height of the cone
Cyl = pi%2Ar%5E2%2Ah
Cone = %281%2F3%29%2Api%2Ar%5E2%2A3h
If you cancel the denominator 3 into 3h you have the same formula