Question

If the radii of the circular ends of a bucket of height 40 cm are 35 cm and 14 cm respectively, then the volume of the bucket in cubic centimetres is

• A. 60060
• B. 80080
• C. 70070
• D. 80160

Answer 1

The correct option is B 80080

The bucket is in the shape of a frustum of a cone.

Volume of a frustum of a cone $=\frac{1}{3}\pi h(R^2+r^2+Rr)$, where h is the
height and R and r are the radii of the lower and upper ends of a frustum
of a cone. Hence, volume of the frustum of the cone $=\frac{1}{3}\frac{22}{7}\times 40({35}^2+{14}^2+35\times 14)=80080{cm}^3$