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Question

The height of a cylinder is 77 m and the circumference of the base of the cylinder is 24 m . Find the volume of the cylinder.

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Solution

volume of cylinder = 22/7 x r2 x h (22/7 = pi) given ,
height = 77 m
circumference of base of cylinder = 24 m
circumference = 2 x pi x r
24 = ​2 x pi x r
24 = 2 x 22/7 x r
24 x 7/22 x 1/2 = r
42/11 m = r

now applying in volume of cylinder =
22/7 x r2 x h
= 22/7 x (42/11)2 x 77
= 22/7 x 42/11 x 42/11 x 77
= 2 x 1764
= 3528m3

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