SSC CGL Tier II 12 Jan 2017 Paper 1

Question : 51 of 100

Marks: +1, -0

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

Solution:

(2)

{ V _ { 1 } } /{ V _ { 2 } } = { \π r _ { 1 } ^ { 2 } h _ { 1 } }/ { \π r _ { 2 } ^ { 2 } h _ { 2 } } = ( { r _ { 1 } } /{ r _ { 2 } } ) ^ { 2 } ( { h _ { 1 } } /{ h _ { 2 } } )

= ( { 2}/ { 3 } ) ^ { 2 } ( { 5 }/ { 3 } ) = { 20 }/ { 27 }

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