Question 69

A solid cylinder of lead 8 m and 2 m radius is melted and recast into a cone of radius 1.5 m. What is the height of the cone?

Solution

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Let the height of cone = 'h' cm

Volume of cylinder = Volume of cone

$$\pi * 2^2 * 8 = \frac{1}{3} * \pi * 1.5^2 * h$$

3 * 4 * 8 = 1.5 * 1.5 * h

h = 42.67 m

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