Which statement best describes an informal argument for the formula for the volume of a cylinder?(1 point)

Question

Responses a b c or d

A cylinder is a stack of h circles, each with an area of πr2 and a thickness of one unit, so its volume formula is V=πr2h.
A cylinder is a stack of h circles, each with an area of pi r squared and a thickness of one unit, so its volume formula is upper V equals pi r squared h .

A cylinder is a curved lateral surface with height h and two circular bases, each with area πr2, so its volume formula is V=2πr2h.
A cylinder is a curved lateral surface with height h and two circular bases, each with area pi r squared , so its volume formula is upper V equals 2 pi r squared h .

A cylinder is a stack of r circles, each with an area of πr2 and a thickness of one unit, so its volume formula is V=πr3.
A cylinder is a stack of r circles, each with an area of pi r squared and a thickness of one unit, so its volume formula is upper V equals pi r cubed .

A cylinder is a curved lateral surface with area 2πrh and two circular bases each with area πr2, so its volume formula is V=2πrh+2πr2

Answer 1

The statement that best describes an informal argument for the formula for the volume of a cylinder is:

A cylinder is a stack of h circles, each with an area of πr² and a thickness of one unit, so its volume formula is V=πr²h.

This statement effectively conveys the idea that the volume of a cylinder can be understood by considering it as a series of circular cross-sections stacked on top of one another, where each cross-section has an area of πr² and contributes to the overall volume based on its height, h.