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 $π =\frac{22}{7}$)
Answer & explanation
Correct answer: option 3
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