The radii of two cones are in the ratio of 2:5, and their volumes are in the ratio of 3:5. What is the ratio of their heights?
Question:
The radii of two cones are in the ratio of 2:5, and their volumes are in the ratio of 3:5. What is the ratio of their heights?
The radii of two cones are in the ratio of 2:5, and their volumes are in the ratio of 3:5. What is the ratio of their heights?
Options
Answer: (1) 15:4
Explanation:
Volume ratio = (r₁²h₁)/(r₂²h₂) = 3/5. Given r₁/r₂ = 2/5, so (4h₁)/(25h₂) = 3/5. Hence h₁/h₂ = 15/4
Explanation:
Volume ratio = (r₁²h₁)/(r₂²h₂) = 3/5. Given r₁/r₂ = 2/5, so (4h₁)/(25h₂) = 3/5. Hence h₁/h₂ = 15/4
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