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Question

A toy in shape of a hemisphere of radius 14 cm is surmounted by a cone of height 22 cm. Find the approximate volume of the toy.


A

10266.66 cm3

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B

17266.67 cm3

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C

15266.67 cm3

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D

12266.67 cm3

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Solution

The correct option is A

10266.66 cm3


The volume of the toy = volume of hemisphere + volume of a cone


V=23πr3+13πr2h =23×227(14)3+13×227(14)2(22) =23×22×2×14×14+13×22×2×14×22 =13[2×22×2×14×14+22×2×14×22] =13[17248+13552]=13×30800V=10266.66 cm3

Volume of the toy = 10266.66 cm3


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