Question

The volume of a right circular cylinder whose height is $40cm$ and the circumference of its base is $66cm$ is

• A. $55440c{m}^3$
• B. $34650c{m}^3$
• C. $7720c{m}^3$
• D. $13860c{m}^3$

Answer 1

Answer: (D)

$13860c{m}^3$

Given, $2\pi r=66\Rightarrow r=\frac{66\times 7}{2\times 22}=\frac{21}{2}cm$
$\therefore v=\pi r^{2}h=\frac{22}{7}\times \frac{21}{2}\times \frac{21}{2}\times 40=13860c{m}^3$