Question

Find the volume of conical shaped dispenser of height 8 in and radius 2 in as shown in the figure below.

• A. 11.1 cu in
• B. 16.7 cu in
• C. 25.6 cu in
• D. 33.5 cu in

Answer 1

The correct option is D 33.5 cu in

Let the height and radius of the the cone be represented by 'h' and 'r' respectively.
so,

Height of the cone (h) = 8 in
Radius of cone (r) = 2 in



We know,
$\text{Volume of cone =}\frac{1}{3}\pi r^{2}h$

$=\frac{1}{3}\times \frac{22}{7}\times 2^2\times 8$

$=\frac{704}{21}$

$=33.5cuin$

$\therefore$ The volume of the conical shaped tank is 33.5 cu in