Question

If the volume of a right circular cylinder with its height equal to the radius is $25\frac{1}{7}cm{,}^3$, then the radius of the cylinder is equal to

• A. $\pi$
• B. $3cm$
• C. $4cm$
• D. $2cm$

Answer 1

Answer: (D)

$2cm$

Let Radius and height $=a$ cm.

Volume of a Cylinder $=\pi R^{2}h$$=\frac{22}{7}\times a\times a\times a$$=25\frac{1}{7}{cm}^3$

$\Rightarrow a^3=\frac{176}{22}=8c{m}^3$

$\Rightarrow a=2cm$