Question

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

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

A cylinder is a curved lateral surface with height h and two circular bases, each with area πr2
𝜋
𝑟
2
, so its volume formula is V=2πr2h
𝑉
=
2
𝜋
𝑟
2
ℎ
.
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 h circles, each with an area of πr2
𝜋
𝑟
2
and a thickness of one unit, so its volume formula is V=πr2h

Answer 1

The last statement: "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."

Reason: volume = base area × height (stacking slices), so πr² · h.