Find the area of copper sheet required to make a bucket of height 8 cm and radii 9 cm and 3 cm.
A
109cm2
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B
129cm2
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C
129πcm2
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D
105cm2
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Solution
The correct option is C129πcm2 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)×√(9−3)2+82+π×32[∵l√(r1−r2)2+h2] =129πcm2