Question

the volume of a cylinder is 75 pi cubic inches. the cylinder has a height of 3 inches. what is the radius of the base of the cylinder?

Answer 1

The volume of a cylinder is found with the equation

V = πr²h, where V = volume, r = radius of the base, and h = height.  So, we can plug in the volume and height you have to calculate the radius:

(Sorry that the pi symbol doesn't show up, the equation program is messed up:)

$V= (pi)r^2h\75pi=(pi)r^2(3)\75pi=3pi *r^2$

Then, divide each side by 3 pi:

$75pi=3pi *r^2\75pi/3pi=3pi/3pi*r^2\25=r^2\r=5$

So, the radius of the base of the cylinder is 5 inches.