Question

A right triangle ABC with sides 5cm, 12cm and 13cm is revolved about the side 12 cm. Find the volume of the solid so obtained.

Answer 1

Height (h) = 12 cm
Radius (r) = 5 cm, and
Slant height (l) = 13 cm

$\text{Volume of cone,}V=\frac{1}{3}\pi r^{2}h$
$V=\frac{1}{3}\times \pi \times 5^2\times 12$
$=100\pi {\text{cm}}^3$
$\text{Volume of the cone formed is}100\pi {\text{cm}}^3.$