The base radii of two circular cones of the same height are in the ratio 3:5 find the ratio of their volume
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Solution :-
Let there be cone 1 and cone 2 respectively.
Let the r and R be the radii of the two right circular cones respectively.
Ratio of base radii = 3 : 5
Volume of cone = 1/3πr²h
⇒Volume of cone 1/Volume of cone 2
⇒ (1/3*πr²h)/(1/3πR²h)
⇒ (1/3*π*3²*h)/(1/3*π*5²*h)
= 3²/5²
= 9/25
= 9 : 25
So, the ratio of their volumes is 9 : 25
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