Question

The radius and height of a cylinder are in the ratio 5:7 and its volume is 550cm3 Find its radius​

Answer 1

Let radius and height be 5x and 7x.

volume =Pie r²h

》pie(5x)²(7x)=550

》pie25x²×7x=550

》pie 175x³=550

》x³=550/pie×175

》and pie=22/7

》so after solving X=1

》Radius=5×1=5cm

Answer 2

Answer:

Radius = 5cm

Explanation:

Given,

let the radius be 5x

and height be 7x

Volume = 550 cm³

Volume = πr²h

550 cm³ = 22/7×(5x)²×7x

550 cm³ = 22×25x²×x

550 cm³ = 22×25x³

550 cm³ = 550x³

550x³ = 550 cm³

x³ = 550 cm³/550

x³ = 1 cm³

x = ³√1 cm³

x = 1 cm

Hope it's help you !

Thank you