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Solid toy is in the form of a hemisphere surmounted by a right circular cone. The ratio of height of cone and diameter of base is 1:2. The sum of height of cone and diameter is 12 cm. Determine the volume of the toy. |
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Answer» Let the height of the cone and diameter of the basbe x and 2 x cm So x+2x=12 => x =4 cm Height of the cone = 4 cm So diameter of the base =8 cm Volume of the cone=1/3π× 4^2×4 cc Volume of hemispherical part =2/3×π×4^3 cc So total volume of the toy =π×4^3 cc =64π cc |
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