SOLUTION: A figure is a cylinder with a radius of 6 inches and a height of 10 inches. On top of the cylinder is a hemisphere with a radius of 6 inches. Find the volume.

Algebra ->  Volume -> SOLUTION: A figure is a cylinder with a radius of 6 inches and a height of 10 inches. On top of the cylinder is a hemisphere with a radius of 6 inches. Find the volume.       Log On


   

Question 816386: A figure is a cylinder with a radius of 6 inches and a height of 10 inches. On top of the cylinder is a hemisphere with a radius of 6 inches. Find the volume.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A figure is a cylinder with a radius of 6 inches and a height of 10 inches.



 

Volume = pi%2A%28r%5E2%29+%2Ah+=+pi%2A%2836in%5E2%29%2A10in+=+pi%2A360in%5E3

On top of the cylinder is a hemisphere with a radius of 6 inches.


 1/2 Volume = %281%2F2%29%28+4%2F3%29pi%2A+r%5E3+=+%281%2F2%29pi%2A%284%2F3%29216+=+pi%2A+144in%5E3

Total Volume = 360pi in^2 + 144pi in^3 = 504pi in^3