Question

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

Answer 1

Answer:

20:27

Step-by-step explanation:

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Ratio of radii of two cylinders (r1:r2) = 2:3

•°•Let r1= 2x and r2= 3x

Ratio of heights of cylinders(h1:h2) = 5:3

•°• Let h1= 5y and h2= 3y

Volume of first cylinder with radius r1 and height h1

= πr^2 ×h

=π(r1)^2 × h1

= π(2x)^2 × 5y

= π×4x^2 ×5y

Volume of other cylinder with radius r2 and height h2

= πr^2 × h

= π(r2)^2 × 3y

= π(3x)^2 × 3y

= π×9x^2 × 3y

•°• Ratio of volumes of cylinder 1 and cylinder 2

= (π×4x^2 × 5y)/(π×9x^2 × 3y)

=20/27

=20:27

Thus the required Ratio of their volumes is 20:27.

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