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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

 Dec 1, 2020
 #1
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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

 

 

cool cool cool

 Dec 1, 2020

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