Question

If the radius of the cone is half of the radius of cylinder and uts height is double to that of cylinder show that its volume is 1/6 th volume of cylinder

Answer 1

Radius of cone (r) = Radius of cylinder(R)/2

height of cone(h) = 2 ×height of cylinder ( H)

Volume of cone = 1/3 pie ( R/2)^2 ( 2H)

volume of cylinder = pie R^2 H

volume of cone/volume of cylinder = 1/3 × 1/4 × 2

= 1/6

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Answer 2

Your answer is given in the picture.

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