Question

The volume of a right circular cylinder whose curved surface area is $2640c{m}^2$ and circumference of its base is $66cm$, is :

• A. $3465c{m}^3$
• B. $7720c{m}^3$
• C. $13860c{m}^3$
• D. $5540c{m}^3$

Answer 1

The correct option is A $3465c{m}^3$

Given:Circumference of the base$=2\pi r=66cm$

$\Rightarrow 2\times \frac{22}{7}\times r=66$

$\Rightarrow r=\frac{66\times 7}{2\times 22}=\frac{21}{2}=10.5cm$

Curved Surface area of a cylinder$=2\pi rh=2640sq.cm$

$\Rightarrow h=\frac{2640}{2\pi \times 10.5}=\frac{2640\times 7}{2\times 22\times 10.5}=10cm$

Volume of cylinder $=\pi r^{2}h=\frac{22}{7}\times 10.5\times 10.5\times 10=3,465{cm}^3$