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Question

Find the area of copper sheet required to make a bucket of height 8 cm and radii 9 cm and 3 cm.

A
109 cm2
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B
129 cm2
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C
129π cm2
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D
105 cm2
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Solution

The correct option is C 129π cm2
As bucket is in the form of frustum of cone. The area of the copper sheet required to make the bucket is curved surface area plus bottom surface area of frustum.

=π(r1+r2)l+πr22, where l is the slant height of the frustum.

area of the copper sheet
=π(9+3)×(93)2+82+π×32 [l(r1r2)2+h2]
=129π cm2

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