Question

The radius and height of a cylinder are in the ratio 5:7 and its volume is 550 cubic cm.find its radius and height

Answer 1

given r:h = 5:7
let r=5x and h=7x
volume=πr²h
550 = 22×5x×5x×7x/7
550 = 550x³
x³ = 1
x = 1
radius = 5×1 = 5cm , height = 7cm