Question

The volume of a conical shaped tank of height 9 ft and diameter 8 ft as shown is cu ft.
$\text{[Take π=}\frac{22}{7}]$

• A. 272.5
• B. 603.4
• C. 175.8
• D. 150.9

Answer 1

The correct option is D 150.9

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

Height of the cone (h) = 9 ft
Diameter of cone = 8 ft
$\text{Radius of cone (r) =}\frac{8}{2}=4ft$



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

$=\frac{1}{3}\times \frac{22}{7}\times 4^2\times 9$

$=\frac{1056}{7}$

$=150.9\text{cu ft}$

$\therefore$ The volume of the conical shaped tank is 150.9 cu ft