Multiple choice

A solid cylinder of metal 8 m high and 4 m, diameter is melted and recast in to a cone of diameter 3 m. Find the height of the cone.

  1. 39 m.

  2. 42.66 m.

  3. 53.40 m.

  4. 51 m.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume of cylinder = π(2)²(8) = 32π m³. This equals the cone's volume: (1/3)π(1.5)²h = (1/3)π(2.25)h = 0.75πh. Equating: 0.75πh = 32π, so h = 32/0.75 = 42.67 m. The other options don't satisfy the volume conservation equation.

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