Question

The diameters of the lower and upper ends of a bucket in the form of a frustum of a cone are 10cm and 30cm respectively. If its height is 24cm, find the volume of water it contains. Also find area of metal sheet used to make the bucket.

Answer 1

volume of frustum of cone = 1/3 πh (r1^2 + r2^2 + r1r2)

= 1/3 x 22/7 (30^2 + 10^2 + 30 x 10)

= 1/3 x 22/7 (900+100+300)

= 1/3 x 22/7 (1300)

= 28600/21 = 1361.904 cm^3

this the bucket can hold 1361.904/1000 = 1.361 litres of water

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