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

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) (Show Source): You can put this solution on YOUR website!

cylinder's and prism's volume formula is where is the base and 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 is a with an of .
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.
where is approximately , is the radius of the circular end of the cylinder, and 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.

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