Question

The volume of a cylinder is $4312c{m}^3$ and its height is $7cm$. A ball will fit inside the cylinder if its radius is ______.

• A. $21cm$
• B. $18cm$
• C. $15cm$
• D. $12cm$

Answer 1

The correct option is D $12cm$

Volume of cylinder $=\pi \times r^2\times h$
$\Rightarrow 4312=\frac{22}{7}\times r^2\times 7$
$\Rightarrow r^2=4312\times \frac{7}{22}\times \frac{1}{7}$
$\Rightarrow r^2=196$
$\Rightarrow r=14$
So, a ball will fit inside the cylinder if its radius is less than or equal to 14 $cm$.