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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 7m and height of the cone is 1m, what is the area of cloth required? (2=1.414)

 



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


Area of the cloth required = C.S.A of Hemisphere + C.S.A of cone

Area of the cloth required = 2πr2+πrl....(i)

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

l = 49+1=50 m = 25×2=52 m.

Substituting the values in equation (i)

Area of the cloth required = πr(2r+l)
                                         = 227×7(14+52)
                                         = 22(14+7.05)
                                         = 22×21.05
                                         = 463.1m2


Mathematics

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