Multiple choice

The side of a cube is 10 cm. If a cone of radius 7 cm is made from this cube, what will be the height of the cone?

  1. $19.48 cm.$
  2. $22.5 cm.$
  3. $24 cm.$
  4. $36 cm.$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When a solid is melted and recast, its volume is conserved. Cube volume = 10³ = 1000 cm³. Cone volume = (1/3)πr²h = (1/3)π × 7² × h = (49π/3)h. Equating: (49π/3)h = 1000, so h = 3000/(49π) ≈ 19.48 cm.

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