Question

The radius & height of a cylinder are in ratio 5:7 & its volume is 550cm3 Find its radius (Pie=22/7)

Answer 1

Let Radius of cylinder is 5X and Height of cylinder is 7X cm respectively.






Volume of cylinder = 550



πR²H = 550


22/7 × (5X)² × 7X = 550



22/7 × 25X² × 7X = 550





( 175X³ × 22 ) = 3850



175X³ = 3850/22


175X³ = 175


X³ = 1



X = 1







Therefore,

Radius of cylinder = 5X = 5 × 1 = 5 cm.

And,


Height of cylinder = 7X = 7 × 1 = 7 cm.