1. A sphere is cut into two hemispheres. One of them is used as bowl. It takes 8 bowlfuls of this to fill a conical vessel of height 12 cm and radius 6 cm. The radius of the sphere (in centimetre) will be
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By: anil on 05 May 2019 01.52 am
Height of cone = 12 cm and radius of cone = 6 cm Let radius of hemisphere(or sphere) = $$r$$ cm Now, 8 * volume of hemisphere = volume of cone => 8 * $$frac{2}{3} pi r^3 = frac{1}{3} pi * 6^2 * 12$$ => $$r^3 = frac{36 * 12}{16}$$ => $$r = sqrt[3]{27}$$ = 3 cm
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