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Question

A hemispherical bowl of diameter 7.2 cm is filled completely with chocolate sauce. This sauce is poured into an inverted cone of radius 4.8 cm. Find the height of the cone. [3 MARKS]

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Solution

Formula: 1 Mark
Application: 1 Mark
Answer: 1 Mark

Volume of hemisphere = Volume of cone
23πr3=13πr2h
23×3.6×3.6×3.6=13×4.8×4.8×h
h=3.6×3.6×3.6×24.8×4.8=4.05 cm
Hence, the height of the cone is 4.05 cm

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