Ratio of height of cylinders 3:5, ratio of their volume is 27:80. What will be the ratio of their radius?
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Let heights of the Cylinder are 3x and 5x and Vulume are 27y and 80 y respectively.
Let first cylinder has radius R and other has r.
Volume of Cylinder = Pi * R *R * h.
Pi* R *R * H /Pi * r *r * h = 27y/80y
R *R * 3x/r *r * 5x = 27/80
R *R / r *r = 27 * 5/ 80 *3
R * R / r *r = 9/16
R/r = Sq. rt of 9/16
R/r = 3 /4.
Ratio,
R : r = 3 : 4.
3:4