Question

A frustum is a one with the end chopped off .A bucket in the shape of a frustum as shown has diameters of 10cm and 4cm at its end and depth of 3cm . Calculate the volume of the bucket showing steps.

Answer 1

The volume of the bucket is 122.52 cm³.

The diameters of frustum is

D=10 cm ⇒ R= 5 cm

d=4 cm ⇒ r= 2 cm

The height is h=3 cm

The volume of the frustum is given by,

V=\frac{1}{3}\pi[R^{2} +r^{2} +Rr]h

Substitute the value in the formula,

V=\frac{1}{3}\pi[5^{2} +2^{2} +(5)(2)]3

V=\frac{1}{3}\pi[25+4+10]3

V=\frac{1}{3}\pi[39]3

V=39\pi

V=122.52