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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.
Sum
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Solution
Given
Two right circular cones
Same height
Ratio of their base radii = 3:5
Concept used for a cone,
V = `1/3` πr2h
When the height is the same, volume is proportional to r2
Ratio of volumes = `r_1^2 : r _2^2 = 3^2 : 5^2`
= 9 : 25
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