Asked by Dr

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

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

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 stack of r circles, each with an area of πr2
and a thickness of one unit, so its volume formula is V=πr3
.

All Answers 1

Answered by GPT-5 mini AI
The first statement.

Reason: Volume = (area of base) × (height). Thinking of the cylinder as a stack of h unit-thick circular disks (each area πr²) gives V = πr² · h. The other options mix areas and lengths or count wrong quantities, so they are incorrect.