SOLUTION: how is finding the volume of a cylinder like finding the volume of a prism? how is it different?

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Question 904074: how is finding the volume of a cylinder like finding the volume of a prism? how is it different?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

cylinder's and prism's volume formula is V+=+Bh where B is the base and h is the height
Strictly speaking a cylinder is not a prism, however it is extremely similar. A prism is a solid with bases that are polygons and the sides are flat surfaces. If you imagine a prism with regular polygons for bases, as you increase the number of sides, the solid gets to look just like a cylinder. So we can say that a cylinder is a prism with an infinite+number of faces.
A cylinder is also similar to a prism in that
1. It has the same cross section anywhere.
2. Its volume is calculated by multiplying the area of a base by the height.
V=r%5E2h%2Api where pi is approximately 3.14, r is the radius of the circular end of the cylinder, and h height of the cylinder.
3. It can be right or oblique.
Different:
The side walls of any prism are flat but that of a cylinder is curved.