A rectangle with height 8 and length 24 is wrapped around a cylinder with height 24. The rectangle perfectly covers the curved surface of the cylinder without overlapping itself at all. What is the volume of the cylinder? My answer was wrong
I think you must mean that the width of the rectangle = 8 and the height =24
Assuming this is true
The radius can be found as
8 = 2pi r
r = 8/ (2pi) = 4/pi
Volume= pi r^2 (height)
Volume = pi ( 4/pi)^2 * 24
Volume = 384/pi units^3 ≈ 122.2 units^3
