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

Answer:

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

Step-by-step 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