Find angle BEC
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supplementary angle due to cycle
BAC+BEC = 180
180 - 60 = 120
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Ratio of radius of Cylinder1 to that of cylinder2 = 3:2 (given)
=> radius of cylinder1 = 3x unit
& radius of cylinder2 = 2x unit
Ratio of their heights = 4:3 (given)
=> height of cylinder1 = 4y unit
& height of cylinder2 = 3y unit
Hence volume of cylinder1 = pi (3x)² * 4y . . .(1)
Volume of cylinder2 = pi(2x)² * 3y . . . . (2)
Hence, Volume ratio = (pi* 9x² *4y) /( pi * 4x² *3y)
=> 36pi/12pi
=> 3:1
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