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The Radii of Two Cylinders Are in the Ratio 2 : 3 and Their Heights Are in the Ratio 5 : 3. Calculate the Ratio of Their Volumes. - Mathematics

Sum

The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. Calculate the ratio of their volumes.

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Solution

Here, r1 = Radius of cylinder 1
         h1 = Height of cylinder 1
         r2 = Radius of cylinder 2
         h2 = Height of cylinder 2
         V1 = Volume of cylinder 1
         V2 = Volume of cylinder 2
Ratio of the radii of two cylinders = 2:3
Ratio of the heights of two cylinders = 5:3
Volume of the cylinder =  πr2h
V1/V2 = (πr12h1)/(πr22h2) = (π(2r)25h)/(π(3r)23h) 
V1/V2 = (π4r25h)/(π9r23h) = 20 / 27
Hence, the ratio of their volumes is 20:27

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APPEARS IN

RD Sharma Class 8 Maths
Chapter 22 Mensuration - III (Surface Area and Volume of a Right Circular Cylinder)
Exercise 22.2 | Q 12 | Page 25
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