Q. 94.5( 2 Votes )
The radii of two cylinder are in the ratio of 2:3 and their height are in the ratio of 5:3. Find the ratio of their volumes.
Answer :
Let the radus of the first cylinder = r1
And the radus of the second cylinder = r2;
Let the height of first cylinder = h1
And the height of second cylinder = h2
Given,
r1 : r2 = 2 : 3
r1/r2 = 23 ……………….. (i)
And
h1 : h2 = 5 : 3
h1/h2 = 5/3 ……… (ii)
Now,
The ratio of the volumes of the cylinders =
……… [Using (i) and (ii)]
= 20/27
= 20 : 27
So,
The ratio of the volumes of the given cylinders is 20 : 27
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