Question

The circumference of the base of a cylinder is $12m$ and its height is $77m.$ The volume of the cylinder is

• A. $882m^3$
• B. $782m^3$
• C. $641m^3$
• D. $441m^3$

Answer 1

Answer: (A)

The correct option is B $882m^3$

Let the radius of the cylinder be $r.$

It is given that the circumference of the base of the cylinder is equal to $12m.$ So,

$\begin{array}{cc}2\pi r& =12\\ \frac{22}{7}\times r& =6\\ r& =\frac{21}{11}m\end{array}$

$\begin{array}{cc}\text{Volume of cylinder}& =\pi r^{2}h\\ & =\frac{22}{7}\times \frac{21}{11}\times \frac{21}{11}\times 77\\ & =2\times 3\times 21\times 7\\ & =882m^3\end{array}$