Question

Cylinder B has a height of 4 inches and a volume of 36pi inches cubed. Cylinder L has the same height as cylinder B but it's radius is 2 times longer. The volume of L is (answer) times the volume of cylinder B

Answer 1

The volume of cylinder L is 4 times the volume of cylinder B

Explanation:

step 1

Find the radius of Cylinder B

The volume of a cylinder is equal to

`V=\pi r^(2) h`

we have

`VB=36\pi\ in^(3)`

`h=4\ in`

substitute and solve for r

`36\pi=\pi r^(2) (4)`

Simplify

`9=r^(2)`

`r=3\ in`

step 2

Find the volume of the Cylinder L

we have

`h=4\ in`

`r=2*(3)=6\ in`

substitute in the formula

`VL=\pi (6)^(2) (4)`

`VL=4*(36\pi)\ in^(3)`

`VL=4VB`

therefore

The volume of cylinder L is 4 times the volume of cylinder B