Question

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

Answer 1

ans: let the radius of come be 3x let the radius of the cylinder be 5x

Step-by-step explanation:

volumes are equal

hence

1/3*π*(3x) ^2*h/π*(5x) ^2*H =1

we will now cancel π on both sides

1/3*9x^2*h/25x^2*H =1

3x^2*h/25x^2*H=1

h/H =25x^2/3x^2

h//H=25/3

therefore the ratio of the heights is 25 : 3

I hope it's clear