Multiple choice

A right angular solid cone whose height is 28 cm and radius 7 cm is melted and recast into the small solid sphere of radius equal to the cone. Find the number of spheres recast.

  1. 4

  2. 1

  3. 6

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

Cone volume = (1/3)π(7)²(28) = (1/3)π(49)(28) = (1372/3)π cm³. Sphere volume = (4/3)π(7)³ = (4/3)π(343) = (1372/3)π cm³. Since volumes are equal, only 1 sphere can be formed. Option A (4) incorrectly divides volume by 4. Option C (6) is arbitrary. Option D (28) confuses radius with number of spheres.

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