Question

the radius and height of a cylinder are in ratio 2:3,if the volume of cylinder is 1617cmcube find its height

Answer 1

here goes ur ans
take the common multiple x
then the radius will be 2x and height 3x
volume of cylinder=πr^2 h
1617= 22/7* (2x)^2*3x
1617=22/7*4x*3x
1617*7/22. =12x^3
514.5. =x^3
514.5/12. =x^3
42.875= x3
3.5=x
hence height will be 3x= 3*3.5=10.5
I hope this answer is correct

Answer 2

Let the radius and height be 2x and 3x respectively.

Volume = πr²h
1617= 22/7 × (2x)²× 3x
1617 = 22/7 × 4x² × 3x
1617 = 22/7 × 12x³
1617 × 7/22 = 12x³
514.5 = 12x³
514.5/12 = x³
42.875 = x³
x = ³√ 42.875
x = 3.5

Therefore ,
Radius = 2x = 2 × 3.5 = 7cm
Height = 3x = 3× 3.5 = 10.5cm