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A cone made of paper has height 3h and v...

A cone made of paper has height 3h and vertical angle `2 alpha` It contains two other cones of height 2h and h and vertical angles `4 alpha` and `6 alpha` respectively. Find the ratio of the two volumes in between the cones.

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The correct Answer is:
`(27 tan^(2) alpha-8 tan^(2) 2alpha):(8tan^(2)2alpha-tan^(2)3alpha)`
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NAGEEN PRAKASHAN-VOLUME AND SURFACE AREA OF SOLIDS-Exercise
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