Responses
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 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.
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, so its volume formula is V=2πr2h.
1 answer
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 correctly represents the volume of the cylinder as the area of the base (the circle) multiplied by the height (the number of circles stacked), which gives the formula \( V = \pi r^2 h \).
