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Question
The volumes of two cones of same base radius are 3600 cm3 and 5040 cm3. Find the ratio of heights.
Solution
Let the radius of the two cones be ‘r’
Let the height of the two cones be h1 and h2
Ratio of their volumes = 3600 : 5040 ...(÷ 10)
`1/3pi"r"^2"h"_1 : 1/3pi"r"^2"h"_2` = 360 : 504 ...(÷ 4)
h1 : h2 = 90 : 126 ...(÷ 3)
= 30 : 42 ...(÷ 3)
= 10 : 14 ...(÷ 2)
h1 : h2 = 5 : 7
Ratio of heights = 5 : 7
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