Please help me with the following:

Question

The volume of a cylinder is found using the formula V=πr^2h,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 (2r x 2r) by the height. What is the ratio of the volume of the cylinder to the volume of the prism?

A. π/2

B. πr^4h^2

C. πr^2/4h

D. π/4

I think the answer is D, but I am stuck between B,C, and D. Is D the correct answer?

Please help me by checking my answer. Any help will be greatly appreciated! :)

P.S. Please answer as soon as possible again! I also think this is going to be the last one to be checked so far.

Answer 1

D is correct.

Answer 2

the ratio is just

(πr^2h) / (2r)^2*h

πr^2h / 4r^2h

π/4

Answer 3

Okay, cool! Thank you Dr.Bob222!!!! :D

Answer 4

Thank you for the explanation on this problem Steve! I understand it completely!

Answer 5

Find the volume of the cylinder. Use 3.14 for pi
Diameter 34m
Height 27m
This is a work pad question