Question

The radius and hight of a cylinder are in ratio 5:7and its volume is 550cm³. Find its radius

Answer 1

22/7 × 5a×5a×7a =550,

a³=1,

a=1,

then

radius=5×1=5 cm,

height=7×1=7 cm

Answer 2

Let radius is 5x and height of cylinder is 7x.



Volume of cylinder = 550


πR²H = 550



22/7 × (5x)² × 7x = 550



22/7 × 25X² × 7X = 550




( 22 × 175X³ ) = ( 550 × 7 )



( 22 × 175X³ ) = 3850



175X³ = ( 3850/22 )



175X³ = 175



X³ = 175/175



X³ = 1


X = ³√1 = 1




Therefore,


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


And,

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