please solve the following question-
The base radii of two right circular cones of the same height are in the ratio 3:5. Find the ratio of their volumes.
The base radii of two right circular cones of the same height are in the ratio 3:5. Find the ratio of their volumes.
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let radius of 1st cone(r1) = 3x
radius of 2nd cone(r2) = 5x
volume of a cone = π*r^2*h
ratio of their volume = 3*π*(3x)^2*h/3*π*(5x)^2*h (because ratio of radii = 3:5 and ) (heights are equal)
= 9x^2/25x^2
= 9/25
ratio of their volumes are 9:25
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