# A gas tank has ends that are hemispheres of radius r ft. the cylindrical midsection is 6 ft long. express the volume of the tank as a function of r?

##### 1 Answer

Oct 15, 2015

#### Explanation:

Let volume be v then:

Given: radius is r

Let length of cylinder be L

Volume of two ends when put together form a sphere

Volume of cylinder is circle area times length of cylinder

But

Both r and L are both measured in feet. so you can add the volumes directly, giving:

Putting the two together: ( 1 ) + ( 2 )

Let feet be ft