Question

Find the volume of the cone if the height and radius is 12 inches and 7 inches, respectively. $(\text{Use}:\pi =\frac{22}{7})$

• A. $420{\text{in}}^3$
• B. $313{\text{in}}^3$
• C. $516{\text{in}}^3$
• D. $616{\text{in}}^3$

Answer 1

The correct option is D $616{\text{in}}^3$

Given:
Radius of the cone $=r=7\text{inches}$
Height of the cone $=h=12\text{inches}$
Volume of the cone $=\frac{1}{3}\pi r^{2}h$
$=\frac{1}{3}\times \frac{22}{7}\times 7\times 7\times 12$ (substituting for $\text{r, h, and}\pi$)
$=616{\text{in}}^3$
Therefore, the volume of the cone is $616{\text{in}}^3$.

$\to$ Option B is correct.