Question

The volume of right cylinder $14cm$ in height is equal to that of a cube whose edge is $11cm$. The radius of the base of the cylinder is

• A. $5.2cm$
• B. $5.5cm$
• C. $11cm$
• D. $22cm$

Answer 1

The correct option is B $5.5cm$

Volume of a cube $=a^3$
Volume of cylinder $=\pi R^{2}h$
Given, volume of the cube and cylinder is equal.
Hence, $\frac{22}{7}\times R^2\times 14={11}^3$
$R^2=\frac{11\times 11\times 11\times 7}{22\times 14}=\frac{11\times 11}{2\times 2}$
$R=\frac{11}{2}=5.5cm$