Find the ratio of the volume of the cylinder to the volume of the hemisphere, given that the height, h, of the cylinder is equal to the diameter, d, of the hemisphere.

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  1. Vol. of cylinder = ¡Ç(r^2)h and vol. of hemi-sphere=(¡Çh^3)/12 and hence their ratio = 12(r/h)^2 where r, h are the radius & and the height of the cylinder

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