Question

Find the volume of a cone given in the figure.

• A. $15\pi {\text{cm}}^3$
• B. $16\pi {\text{cm}}^3$
• C. $17\pi {\text{cm}}^3$
• D. $18\pi {\text{cm}}^3$

Answer 1

The correct option is A $15\pi {\text{cm}}^3$

Given,
The diameter of a cone $=d=6cm$
$\therefore$ The radius of a cone $=r=3cm$
The depth of a cone $=h=5cm$

As we know,
The volume of a cone $=\frac{1}{3}\pi r^{2}h$

$=\frac{1}{3}\pi \times 3^2\times 5$

$=\frac{\pi }{1}\times 3\times 5$

$=15\pi {\text{cm}}^3$