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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 if it is completely filled.

Solution
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D=7.2cmr=3.6cmR=4.8cmVolumeofcone=volumeofhemisphere=πr2h=23πr3(4.8)2H=2×3.6×3.6×3.6H=2×3.6×3.6×3.64.8×4.8=4.05cm

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