Question

A truncated drum is in the shape of a frustum of a cone of height $10$ cm. The radius of its two circular ends are $4$ cm and $7$ cm. Find the volume of the drum.

• A. $673.4c{m}^3$
• B. $573.4c{m}^3$
• C. $973.4c{m}^3$
• D. $873.4c{m}^3$

Answer 1

The correct option is C $973.4c{m}^3$

Volume of the frustum cone $=\frac{1}{3}\pi h(R^2+r^2+Rr)$

$=\frac{1}{3}\pi \times 10(7^2+4^2+28)$

$=\frac{1}{3}\pi \times 930$

$=973.4c{m}^3$