the radii of two cylinders are the ratio of 3:4 and their height are in the ratio 4:3 find the ratio of their volume
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Answered by
8
Answer:
volumes be V1: V2
V1: V2 = πri^2h1: πr 2^2h 2
.=r1^2hl:r2 ^2h 2
= 9x4:16x3
. = 36:48
= 3:4
V1:V2 = 3:4
ratio of volume=3:4
Answered by
2
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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