Question

If the ratio of the radius of a cone and cylinder of equal volumes is 3:5 then find their ratio of their heights

Answer 1

Answer:

25/3

Step-by-step explanation:

let r1 be radius of cone and r2 be radius of cylinder, h1 be height of cone and h2 be height of cylinder

since the volumes are equal:

1/3 x 22/7 x (r1)^2 x h1 = 22/7 x (r2)^2 x h2

=> 1/3 x (r1/r2)^2 =h2/h1                                                                            

=> 1/3 x 9/25 = h2/h1                             cuz r1/r2=3/5 which is given

=> 3/25 = h2/h1

=> h1/h2= 25/3

Answer 2

27/16

Step-by-step explanation:

radius of cylinder=R1m

radius of cone=R2

r1/r2=3/4

r1= 3 r2/4

volume of cylinder

volume of cone. = πr1 2b/1/3π r2 2b

=π(3/4 2)2/b/1/3√(r2)2/6

= 3x 9/16. r/2

= 27/16