The radii of two right circular cylinders are in the ratio 3 : 2 and t

1.	The radii of two right circular cylinders are in the ratio 3 : 2 and the of their volumes is 27 : 16. What is the ratio of their heights?1. 4 : 32. 9 : 83. 3 : 44. 8 : 9
Answer» Correct Answer - Option 3 : 3 : 4 Given: Ratio of radius of two right circular cylinders = 3 : 2 Ratio of their volumes = 27 : 16 Formula used: Volume of right circular cylinder = πr²h Calculation: let the height of both cylinder be h₁ and h₂ ⇒ π3²h₁/π2²h₂ = 27 : 16 ⇒ 9h₁/4h₂ = 27 : 16 ⇒ 4h₁ = 3h₂ ⇒ h₁: h₂ = 3 : 4 ∴ The ratio of their heights is 3 : 4

The radii of two right circular cylinders are in the ratio 3 : 2 and the of their volumes is 27 : 16. What is the ratio of their heights?1. 4 : 32. 9 : 83. 3 : 44. 8 : 9

Answer» Correct Answer - Option 3 : 3 : 4

Given:

Ratio of radius of two right circular cylinders = 3 : 2

Ratio of their volumes = 27 : 16

Formula used:

Volume of right circular cylinder = πr²h

Calculation:

let the height of both cylinder be h₁ and h₂

⇒ π3²h₁/π2²h₂ = 27 : 16

⇒ 9h₁/4h₂ = 27 : 16

⇒ 4h₁ = 3h₂

⇒ h₁: h₂ = 3 : 4

∴ The ratio of their heights is 3 : 4

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The radii of two right circular cylinders are in the ratio 3 : 2 and the of their volumes is 27 : 16. What is the ratio of their heights?1. 4 : 32. 9 : 83. 3 : 44. 8 : 9

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