Question

3
is the rate of the Radius of a
Cone and a cylinder of equal
volume 3:5. what is the natio
of heights​

Answer 1

AnswEr:-

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

Given that 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                             [r1/r2=3/5 which is given ]

=> 3/25 = h2/h1

=> h1/h2= 25/3.

Hence, ratio of heights is 25:3 .

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Step-by-step explanation: