RRB RPF RPSF SI and CONS Model Papers 5 with solutions

Question : 72 of 119

Marks: +1, -0

The ratio of the radii of two cylinders is 2 : 1 and their heights are in the ratio 3 : 2. Find the ratio of their volumes.

Solution:

(1) Let radii of the two cylinders be r

_{1}

and r

_{2}

, and their heights be h

_{1}

and h

_{2}

.
Now, ratio of volumes of the cylinders is,

{\π r_{1}^{2} h_{1}}/{\π r_{2}^{2} h_{2}}= ( {r_{1}}/{r_{2}} )^{2} ( {h_{1}}/{h_{2}} )

= ( {2}/{1} )^{2} ( {3}/{2} )= {6}/{1}

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