Question

th ratios of the heights and the radii of two cylinders are 1:2 and 2:1 reapectively. find out the ratio of theri volumes

Answer 1

Let the radii of cylinders be R1 and R2

And the height of cylinders be H1 and H2

According to question.....

H1 : H2 = 1 : 2

=> H1 / H2 = 1/2 --------(1)


R1 : R2 = 2:1

=> R1 / R2 = 2 / 1 ------(2)

Now,

V1 : V2 = pi R1^2 H1 / pi R2^2 H2

= (R1 / R2)^2 × (H1 / H2)

= ( 2 / 1)^2 × 1 / 2

= 4 × 1 / 2

= 4 /2

= 2 : 1

Required ratio = 2 : 1

Answer 2

Hi,

Please see the attached file!


Thanks