Can someone please help me?

The volume of a cylinder is found using the formula , where r is the radius of the base and h is the height. The volume of a rectangular prism of the same width (2r) and height h, as the cylinder, is found by multiplying the area of the base by the height. What is the ratio of the volume of the cylinder to the volume of the prism?
A.

B.

C.

D.

Question

Can someone please help me?

The volume of a cylinder is found using the formula , where r is the radius of the base and h is the height. The volume of a rectangular prism of the same width (2r) and height h, as the cylinder, is found by multiplying the area of the base  by the height. What is the ratio of the volume of the cylinder to the volume of the prism?
A.

B.

C.

D.

phi · Answer

can you write the expression for the volume of the cylinder  divided by the expression for the volume of the prism?

phi · Answer

It sounds like the base of the prism is a square with sides all equal to 2r

the base of the cylinder is a circle with radius r

the volume of the cylinder is  (area of base) * height
area of the circle with radius r is what ?