Question

A bucket made up of a metal sheet is in the form of a frustum of a cone of height 16 cm with diameters of its lower and upper ends as 16 cm and 40 cm respectively. Find the volume of the bucket. Also, find the cost of the bucket if the cost of metal sheet used in Rs 20 per 100 cm² .
(Use π = 3.14)

Answer 1

The height of the bucket is h=16cm. The radii of the upper and lower circles of the bucket are r₁ =20 cm and r₂ = 8 cm respectively.

The slant height of the bucket is

The volume of the bucket is

Hence the volume of the bucket is

The surface area of the used metal sheet to make the bucket is

Therefore, the total cost of making the bucket is