From a solid cube of side 7 cm , a conical cavity of height 7 cm and radius 3 cm is hollowed out . Find the volume of the remaining solid.
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Solution
Side length of the cube, a = 7 cm Height of the cone, h = 7 cm radius, r = 3 cm Volume of the remaining solid = Volume of the cube − volume of the cone V=a3−13πr2h V=73−13π(32)×7 V=343−66=277cm3