Question

if the radii of the circular ends of a bucket of height 40cm are 28cm and 7cm respectively, find the volume of bucket????

Answer 1

The bucket is in the shape of a frustum,

Volume of bucket=volume of frustum

=1/3πh(R^2+r^22+Rr)

=1/3*3.14*40(28*28+7*7+7*28)

=125.6/3(784+49+196)

=125.6/3*1029

=125.6*343

=43080.8 cm^3

Answer 2

The figure described is a Frustum of a right circular cone

*See attached

$\text {Formula = }\dfrac{\pi h}{3}(R^2 + Rr + r^2)$

Find the volume:

$\text {Volume = }\dfrac{\pi (40)}{3}(28^2 + (28)(7) + (7)^2)$

$\text {Volume = } 43120 \text { cm}^3$