Question
A cone has a height of 14 cm and a volume of 2,112 cm³.
What is the ratio of the cone's height to its radius? {Take π = (22/7)}Solution
Let the radius of the cone be ‘r’ cm.
Volume of cone = (1/3) × (22/7) × r 2 × height
ATQ: 2112 = (1/3) × (22/7) × r 2 × 14
Or, r 2 = 144
So, r = 12 (Since, radius cannot be negative therefore, we can discard the negative root)
So, required ratio = 14:12 = 7:6
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