SSC MTS 2024 PYQ — Question 8

The correct answer is option 3 i.e. 25872 cm³.

The height of a right circular cylinder is three times its radius

The curved surface area of the right circular cylinder = 3696 cm

Let's assume the radius = x

height = 3x

The curved surface area of the right circular cylinder = 2πrh

3696 = 2 × $\frac {22} 7$ × x × 3x

x² = 196

x = 14

The volume of the cylinder = πr²h 

= $\frac {22} 7$ × x² × 3x 

= $\frac {22} 7$ × 14² × 3 × 14 = 25872 cm³