If the ratio of radii of two cylinders is 2 ∶ 3 and the ratio of the

1.	If the ratio of radii of two cylinders is 2 ∶ 3 and the ratio of their heights is 5 ∶ 3, then the ratio of their volumes is1. 20 ∶ 272. 21 ∶ 253. 27 ∶ 254. None of the above
Answer» Correct Answer - Option 1 : 20 ∶ 27 Given: The ratio of radii of two cylinders is 2 ∶ 3 and the ratio of their heights is 5 ∶ 3 Formula used: The volume of the cylinder = π r² h Here, r is the radius and h is the height of the cylinder Calculation: Let the radius be 2x and 3x respectively And, let the height be 5y and 3y respectively ⇒ The ratio of the volume \(= {{r^2\times h} \over R^2\times H}\) ⇒ \( {{2x^2\times 5y} \over 3x^2\times 3y}\) = 20/27 ∴ The ratio of their volumes is 20 ∶ 27

If the ratio of radii of two cylinders is 2 ∶ 3 and the ratio of their heights is 5 ∶ 3, then the ratio of their volumes is1. 20 ∶ 272. 21 ∶ 253. 27 ∶ 254. None of the above

Answer» Correct Answer - Option 1 : 20 ∶ 27

Given:

The ratio of radii of two cylinders is 2 ∶ 3 and the ratio of their heights is 5 ∶ 3

Formula used:

The volume of the cylinder = π r² h

Here, r is the radius and h is the height of the cylinder

Calculation:

Let the radius be 2x and 3x respectively

And, let the height be 5y and 3y respectively

⇒ The ratio of the volume \(= {{r^2\times h} \over R^2\times H}\)

⇒ \( {{2x^2\times 5y} \over 3x^2\times 3y}\) = 20/27

∴ The ratio of their volumes is 20 ∶ 27

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