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InterviewSolution
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If theradii of two cylinders are in the ratio 2:3 and their heights are in theratio 5:3, then find the ratio of their volumes.A. `10:17`B. `20:27`C. `17: 27`D. `20: 37` |
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Answer» Correct Answer - B Let the radii of two cylinders be `r_(1)` and `r_(2)` and height of the cylinder be `h_(1)` and `h_(2)` Given , `" "(r_(1))/(r_(2)) =(2)/(3) and (h_(1))/(h_(2)) = (5)/(3)` `therefore`Ratio of volumes `(pir_(2)^(1) h_(1))/(pir_(2)^(2) h_(2)) =((r_(1))/(r_(2)))^(2)((h_(1))/(h_2))` `= ((2)/(3))^(2)((5)/(3)) =(4)/(9) xx (5)/(3) = 20: 27` Hence, the radius of their volumes is 20: 27 |
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