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Question
the radius and height of a cylinder are in the ratio 3:2 and its volume is cm3 . find its radius and height
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Solution
Given
ratio of radius and height of a cylinder is 3:2
let radius be 3x and height be 2x
its volume is 19404cm3
according to the question..
volume of cylinder = Πr^2h
19404= 22/7×3x×3x×2x
19404×7/22=18x^3
6174=18x^3
6174/18=x^3
343= x^3
7= x
therefore radius of cylinder is 3x=3×7=21cm
height=2x=2×7=14cm
ratio of radius and height of a cylinder is 3:2
let radius be 3x and height be 2x
its volume is 19404cm3
according to the question..
volume of cylinder = Πr^2h
19404= 22/7×3x×3x×2x
19404×7/22=18x^3
6174=18x^3
6174/18=x^3
343= x^3
7= x
therefore radius of cylinder is 3x=3×7=21cm
height=2x=2×7=14cm
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