Question

The height of the given cone is equal to three times its radius. The volume of the cone is _______ .
$(\text{use}\pi =\frac{22}{7})$

Answer 1

Detailed step-by-step solution:
The diameter of the cone, $D=14$ inches
The radius of the cone, $r=\frac{D}{2}$
$=\frac{14}{2}$
$=7$ inches
The height (h) of the cone $=3\times$ (The radius of the cone)
$=3\times 7$
$=21$ inches
Volume of the cone $=\frac{1}{3}\left(\pi r^{2}h\right)$
$=\frac{1}{3}\times \frac{22}{7}\times 7^2\times 21$
$=\frac{22}{21}\times 7^2\times 21$
$=22\times 7\times 7$
$=1078$ cubic inches
The volume of the cone is $1078$ cubic inches.
$\Rightarrow$ Option B is correct.