The radius and height of a cylinder are in the ratio 5 : 7 and its volume is 4400 cm3. Then its radius will be-

Question: The radius and height of a cylinder are in the ratio 5 : 7 and its volume is 4400 cm3. Then its radius will be- Solution: Let the radius and height of the cylinder be 5x and 7x cm respectively.Then, volume = πr2h = (22/7) × (5x)2 × 7x = 550x3ATQ,550x3 = 4400 x3 = 4400/550 = 8x = ∛8 = 2 Hence, the radius = (5 × 2) = 10 cm