The ratio between the volume (in cm³) and the curved surface area (in cm²) of a cylinder is numerically 14 : 1. If the height of the cylinder is 50 cm, then what is the volume of the cylinder?(Take $π =\frac{22}{7}$)

123200 cm³

We know that,

Volume of the cylinder = πr²h

Curved surface area of the cylinder = 2πrh

We have,

Height = 50 cm

According to the question

πr²h : 2πrh = 14 : 1

=r : 2 = 14

= r = 14 × 2 = 28 cm

Volume of the cylinder  = \(\frac{22}{7}\) × 28 × 28 × 50 = 123200 cm³