Question

The volume of a conical shape oil dispenser of height 8 in and radius 3 in as shown is (round off to 2 decimal places)
$\text{[Take π=}\frac{22}{7}]$

• A. 75.43 cu in
• B. 150.92 cu in
• C. 85.49 cu in
• D. 54.9 cu in

Answer 1

The correct option is A 75.43 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) = 3 in



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

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

$=\frac{1584}{21}$

$=75.43\text{cu ft}$

$\therefore$ The volume of the conical shaped oil dispenser is 75.43 cu in