Question

The radius and height of a cylinder are in the ratio 3:2 and its volume is 19,404 cm3. Find its

radius and height

Answer 1

given
ratio of radius and height of a cylinder is 3:2
let radius be 3x and height be 2x
its volume is 19404cm3
according to the question..
volume of cylinder = Πr2h
19404= 22/7×3x×3x×2x
19404×7/22=18x3
6174=18x3
6174/18=x3
343= x3
7= x

therefore radius of cylinder is 3x=3×7=21cm
height=2x=2×7=14cm

Answer 2

Step-by-step explanation:

Radius be=3x

Height=2x

V=19404cm^3

V=πr^2h

19404= 22/7×(3x)×(3x)×2x

x=7cm

R=21cm

H=14cm