Question

The radius and height of a cylinder are in the ratio 5 : 7 and its volume is 550 cm 3 . find its radius

Answer 1

Hello..

Here is ur answer

Let the radius and hight be 5x nd 7x

Volume=πr^2h=550

22/7*25x^2*7x=550

22*25*x^3=550

x^3=1

x=1

Hence,Radius is 5x=5cm.

Hope this will help u

Answer 2

guess radius =5x & height=7x
then as formula,
         πr²h = 550
    or,22/7 * (5x)² * 7x =550
    or,22/7 * 25x² * 7x =550
    or,550x³ =550
    or,x³ = 550/550 =1
    ∴ x =∛1 =1

so,radius=5*x=5
ans is 5 cm