1. A cone is hollowed out of a solid wooden cube of side 6 cm. The diameter and height of the cone is same as the side of the cube. What is the volume of the remaining cube?
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By: anil on 05 May 2019 02.13 am
Side of cube = 6 cm Height of cone = 6 cm and radius of cone = $$frac{6}{2} = 3$$ cm Volume of remaining cube = Volume of cube - Volume of cone = $$(a)^3 - frac{1}{3} pi r^2 h$$ = $$(6)^3 - [frac{1}{3} imes frac{22}{7} imes (3)^2 imes 6]$$ = $$216 - (frac{22 imes 18}{7})$$ = $$216 - 56.58$$ = $$159.42$$ $$cm^3$$ => Ans - (A)
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