Question

page 13 of 13 Volume of a Cylinder Quick Check 1 of 51 of 5 Items 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 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 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 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 . Skip to navigation

Answer 1

The best 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 describes how the volume of a cylinder can be understood as the area of the circular base multiplied by the height of the cylinder. The area of one circular base is πr², and when you stack h of these circles (slices of the cylinder), you arrive at the formula for the volume, which is V = πr²h.