67.3k views
0 votes
A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 8 feet. Find the radius.

tyyy

1 Answer

5 votes

9514 1404 393

Answer:

6 feet

Explanation:

The volume of a cylinder is given by ...

V = πr^2·h

For a sphere, the volume is ...

V = 4/3πr^3

You want the volumes to be the same when h=8, so we have ...

πr^2·8 = 4/3πr^3

Dividing by πr^2, we have ...

8 = 4/3r

r = 3/4·8 = 6

The radius is 6 feet.

User XorOrNor
by
5.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.