SOLUTION: A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the height of the silo is 68 feet and the radius of the hemisphere is r feet, express the volume of the

Algebra ->  Algebra  -> Bodies-in-space -> SOLUTION: A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the height of the silo is 68 feet and the radius of the hemisphere is r feet, express the volume of the      Log On

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Question 275149: A farmer's silo is the shape of a cylinder with a hemisphere as the roof. If the height of the silo is 68 feet and the radius of the hemisphere is r feet, express the volume of the silo as a function of r.
Answer by ankor@dixie-net.com(15649) About Me  (Show Source):
You can put this solution on YOUR website!
A farmer's silo is the shape of a cylinder with a hemisphere as the roof.
If the height of the silo is 68 feet and the radius of the hemisphere is r feet,
express the volume of the silo as a function of r.
:
The vol of a sphere = %284%2F3%29pi%2Ar%5E3
then the vol of hemisphere = %282%2F3%29pi%2Ar%5E3
:
The height of the cylinder portion = (68-r)
:
Vol = %28pi%2Ar%5E2%2A%2868-r%29%29%2B%28%282%2F3%29pi%2Ar%5E3%29