Question

In the diagram, ABCD represents a bucket, which is shaped like the frustum of a cone. The height of the bucket is 48 cm. The rim and the base of the bucket are circles with radii 30 cm and 10 cm respectively.​ find the the area of the material needed to make the bucket​

Answer 1

S = π × ( R + r ) × a

a= apothem

we apply pythagoras to calculate a

a²=48²+(30-10²) = 2704

a=√2704=52

The area of the lateral surface of the truncated cone with radii 30 and 10 and height 48 = π*(30+10)*52 =

fπ*40*52=2080ft=6531.2cm² (for π=3.14)

Explanation: