Q. 565.0( 2 Votes )

# Two circular cyli

Answer :

Given: Two cylinders of equal volume.

Heights of the cylinders are in the ratio 1:2

Volume of cylinder is: πr2h (here r and h are radius and height of the cylinder respectively)

Let V1 be the volume of first cylinder

V1 = π(r1)2h1

Let V2 be the volume of second cylinder

V2 = π(r2)2h2

Here,

V1=V2

π(r1)2h1 = π(r2)2h2

(r1)2h1 = (r2)2h2

(r1)2 : (r2)2 = h2 : h1

(r1)2 : (r2)2 = 2 : 1

r1 : r2= √2 :1

ratio of the radii of given cylinders is √2 :1

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