Question

The circumference of the base of a cone is 44 cm and its slant height is 25 cm. Find the volume of the cone.

• A. 1232cm³
• B. 1232000cm³
• C. 123200cm³
• D. 1.232cm³

Answer 1

The correct option is A

1232cm³

2$\pi$r = 44

$\Rightarrow$ r = 7 cm

we know ($l^2$ = $r^2$ + $h^2$)

$\Rightarrow$ $h=\sqrt{l^2-r^2}$

$\Rightarrow$ $h=\sqrt{625-49}$

$\Rightarrow$ h = 24 cm

Volume =$\frac{1}{3}\pi r^{2}h=1232c{m}^3$