Multiple choice

A sphere with surface area 616 cm2 melted and casted into a circular cone. What will be height of cone if radius of cone is same as that of sphere? (In cm)

  1. 25

  2. 26

  3. 27

  4. 28
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Sphere surface area 4πr² = 616, so r² = 49, r = 7 cm. Volume of sphere = (4/3)πr³ = 1437.33 cm³. Cone has same radius (7 cm) and same volume (conserved). (1/3)πr²h = 1437.33, so h = (1437.33 × 3) / (π × 49) = 28 cm. Option C (27 cm) is close but incorrect.

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