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Question

A metallic solid cone is melted and cast into a cylinder of the same base as that of the cone. If the height of the cylinder is 7cm, what was the height of the cone?

A
20cm
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B
21cm
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C
22cm
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D
12cm
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Solution

The correct option is B 21cm
When a solid of one shape is melted into another shape, the amount of volume remains the same.
Volume of cone = Volume of cylinder
13πr21h1=πr22h2
13×r2×h1=r2×7[r1=r2=r] as same base
h1=7×3=21cm
Therefore, height of cone is 21 cm.

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