The radii of two cylinders are in the ratio 3 : 4 and heights are in t

1.	The radii of two cylinders are in the ratio 3 : 4 and heights are in the ratio 5 : 7. What is the ratio of their volumes?1. 4 : 92. 15 : 283. 47 : 534. 45 : 112
Answer» Correct Answer - Option 4 : 45 : 112 Given: Radii of two cylinder are in the ratio = 3 : 4 Heights of two cylinder are in the ratio = 5 : 7 Formula: Volume of cylinder = πr²h Calculation: r₁ = 3, r₂ = 4, h₁ = 5 and h₂ = 7 Volume of first cylinder = V₁ Volume of second cylinder = V₂ ⇒ V₁ / V₂ = (π × 3² × 5) / (π × 4² × 7) ⇒ V₁ / V₂ = 45 / 112 ∴ V₁ : V₂ = 45 : 112

The radii of two cylinders are in the ratio 3 : 4 and heights are in the ratio 5 : 7. What is the ratio of their volumes?1. 4 : 92. 15 : 283. 47 : 534. 45 : 112

Answer» Correct Answer - Option 4 : 45 : 112

Given:

Radii of two cylinder are in the ratio = 3 : 4

Heights of two cylinder are in the ratio = 5 : 7

Formula:

Volume of cylinder = πr²h

Calculation:

r₁ = 3, r₂ = 4, h₁ = 5 and h₂ = 7

Volume of first cylinder = V₁

Volume of second cylinder = V₂

⇒ V₁ / V₂ = (π × 3² × 5) / (π × 4² × 7)

⇒ V₁ / V₂ = 45 / 112

∴ V₁ : V₂ = 45 : 112

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The radii of two cylinders are in the ratio 3 : 4 and heights are in the ratio 5 : 7. What is the ratio of their volumes?1. 4 : 92. 15 : 283. 47 : 534. 45 : 112

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