A hemispherical bowl of diameter 7.2 cm is filled completely with chocolate sauce.

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asked Mar 16 in Class X Maths by muskan15 (-3,338 points)

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 cone.

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answered Mar 16 by navnit40 (-4,342 points)

Volume of hemispherical bowl = 2/3πr3  = 2/3π(3.6)3

Volume of cone =1/3πr2h

= 1/3π × (4.8)2 × h

Volume of bowl = Volume of cone

⇒ 2/3π × (3.6)3 = 1/3π × (4.8)2 × h

⇒  h = 2 × 3.6 × 3.6 × 3.6/4.8 × 4.8

= 4.05 cm.

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