A toy is a cone standing on a hemisphere, both of radius 2.8 cm. The total volume of the toy is 95.27 cubic centimetres. Find the height of the cone, in centimetres. (Take π = 22/7.)

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Accepted Answer

6. Hemisphere = 2/3\π r^3 = 2/3 × 22/7 × (2.8)^3 = 45.99 cm³. So the cone holds 95.27 − 45.99 = 49.28 cm³. Cone = 1/3\π r^2 h = 24.64/3 h = 8.213h , so h = 49.28 ÷ 8.213 = 6 cm. 11.6 divides the whole 95.27 by the cone formula without removing the hemisphere; 2 uses \π r^2 h and drops the 1/3 ; 0.4 subtracts a whole sphere instead of a hemisphere.

A toy is a cone standing on a hemisphere, both of radius 2.8 cm. The total volume of the toy is 95.27 cubic centimetres. Find the height of the cone, in centimetres. (Take π = 22/7.)

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