Multiple choice

How many lead balls each of radius $1$ cm can be made from a sphere whose radius is $8$ cm?

  1. $312$
  2. $412$
  3. $512$
  4. $612$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume of large sphere = (4/3)*pi*8^3. Volume of small ball = (4/3)*pi*1^3. Number of balls = (8^3) / (1^3) = 512.

AI explanation

Using the volume conservation method, the volume of the large sphere equals the total volume of the small lead balls. The large sphere volume is (4/3) * pi * 8^3 and each small ball volume is (4/3) * pi * 1^3. Dividing the large sphere volume by the small ball volume gives 512.

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