Multiple choice

A home chocolate-maker has one spherical chocolate of radius 10 cm. With the same amount of material, how many small spheres of chocolates of radius 2.5 cm can be made?

  1. 16

  2. 256

  3. 64

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The volume of a sphere is proportional to the cube of its radius. Therefore, the number of small spheres that can be made is (10 / 2.5)^3 = 4^3 = 64.

AI explanation

The number of small spheres equals the total volume of the large sphere divided by the volume of a small sphere, based on the formula for sphere volume: (4/3) pi r cubed. The radius ratio is 10 to 2.5, which simplifies to 4 to 1, meaning the large sphere is 4 cubed or 64 times larger in volume. Therefore, 64 small spheres can be made.

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