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

B

463.39 m2

C

662.39 m2

D

563 m2

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=5√2 m. Substituting the values in equation (i) Area of the cloth required = πr(2r+l)                                          = 227×7(14+5√2)                                          = 22(14+7.05)                                          = 22×21.05                                          = 463.1m2 Mathematics

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