The volume of a cylinder


 The volume of a cylinder which exactly fits in a cube of side a is



πa3 /4


When the cylinder exactly fits in the cube of side “a”, the height equals to the edges of the cube and the radius equal to half the edges of a cube.

It means that,

h = a,and r = a/2

Then the volume of a cylinder be = πr2h

= π(a/2)2(a)

= πa3/4

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