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Question

The radii of the ends of a bucket 30 cm high are 21 cm and 7 cm. Find its capacity in litres and the amount of sheet required to make this bucket.

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Solution

Height of the bucket = 30 cm.

Therefore,

Capacity of the bucket

The slant height of the bucket

l=h2+r1-r22 =900+21-72 =900+196 = 1096=33.105 cm

Total C.S.A. of the bucket

=πr1+r2×l=π21+7×33.1
=88×33.12913 cm2

Area of the base

Total sheet required to make this bucket

=2913+154=3067 cm2


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