Responses
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
.
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
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
.
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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 correctly identifies that the volume of a cylinder can be thought of as consisting of multiple circular bases stacked on top of each other to achieve the height \( h \), and it accurately derives the formula \( V = \pi r^2 h \) for the volume.
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