Question

What is the volume of a cylinder? Give an informal argument for the formula.

A) V = πr2h; A cylinder has a circle base and top; the middle can be unwrapped to a rectangle.
B) V = πr2h; A cylinder is like a stack of circles, so it's the area of the circles times the height.
C) V = 2πr2 + 2πrh; A cylinder has a circle base and top; the middle can be unwrapped to a rectangle.
D) V = 2πr2 + 2πrh; A cylinder is like a stack of circles, so it's the area of the circles times the height.

Answer 1

V = πr^2h; A cylinder is like a stack of circles, so it's the area of the circles times the height.

Answer 2

V = π
`r^(2)`h

Explanation:

The volume is the area base multiplied by the height of the cylinder. It is like a stack of circles, so it's the area of the circles times the height.