A hemispherical bowl of internal radius 6 cm is full of juice. All the juice is poured into a cylindrical glass of internal radius 4 cm, and none spills. Find the height of the juice in the glass, in centimetres.

Question

Accepted Answer

9. Bowl = 2/3\π (6)^3 = 144\π cm³. In the glass this becomes a cylinder: \π (4)^2 h = 16\π h . So 16\π h = 144\π and h = 9 cm; π cancels, so no value of π is needed. 18 uses 4/3\π r^3 (a whole sphere) for the bowl; 4 keeps the bowl's radius 6 cm for the glass; 6 just repeats the bowl's radius.

A hemispherical bowl of internal radius 6 cm is full of juice. All the juice is poured into a cylindrical glass of internal radius 4 cm, and none spills. Find the height of the juice in the glass, in centimetres.

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