If a cone made of paper has height \( 3 h \) and vertical angle
(W)
\( 2 \alpha \). It contains ...
If a cone made of paper has height \( 3 h \) and vertical angle
(W)
\( 2 \alpha \). It contains two other cones of height \( 2 h \) and \( h \) and
vertical angles \( 4 \alpha \) and \( 6 \alpha \), respectively, then the ratio of the two volumes between the cones is
(a) \( \left(27 \tan ^{2} \alpha-8 \tan ^{2} 2 \alpha\right):\left(8 \tan ^{2} 2 \alpha-\tan ^{2} 3 \alpha\right) \)
(b) \( \left(8 \tan ^{2} 2 \alpha-27 \tan ^{2} \alpha\right):\left(8 \tan ^{2} 2 \alpha-\tan ^{2} 3 \alpha\right) \)
(c) \( \left(27 \tan ^{2} \alpha-8 \tan ^{2} 2 \alpha\right):\left(\tan ^{2} 3 \alpha-8 \tan ^{2} 2 \alpha\right) \)
(d) \( \left(27 \tan ^{2} 2 \alpha-8 \tan ^{2} \alpha\right):\left(8 \tan ^{2}, 3 \alpha-\tan ^{2} 2 \alpha\right) \)
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