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Question

A piece of cloth is required to completely cover a solid object. The solid object is composed of a hemisphere and a cone surmounted on it. If the common radius is 7 m and height of the cone is 1 m, what is the area of cloth required?


A

262.39 m2

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B

463.39 m2

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C

662.39 m2

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D

563 m2

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Solution

The correct option is B

463.39 m2


Surface area of hemisphere = 2πr2 = 2π(7)2 = 308 m2.

For calculating the surface area of a cone we need to calculate its slant height,

l = 49+1=50 m.

Hence surface area of cone = πrl = 155.39 m2.

So, area of cloth required = (308 + 155.39)m2 = 463.39 m2


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