The radius and height of a cylinder are in same ratio 3 : 7 and its volume is 1584 cm3. Find its radius (in cm).

Question: The radius and height of a cylinder are in same ratio 3 : 7 and its volume is 1584 cm³. Find its radius (in cm).

Solution:
Let Radius = 3a and height = 7a
Volume of a Cylinder of Radius R and height h = πR²h
Hence, volume of the given cylinder = (22/7) × 3a × 3a × 7a = 1584 c m 3
⇒ a³ =(1584)/(22 × 9)
⇒ a³ = 8
∴ a = 2

Hence, Radius = 3a = 3 × 2 = 6 cm