Multiple choice

The number of balls of radius 1 cm that can be made from a sphere of radius 10 cm will be

  1. 1000

  2. 10000

  3. 100000

  4. 100
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The number of balls is the ratio of the volume of the large sphere to the volume of one small ball. (4/3 * pi * 10^3) / (4/3 * pi * 1^3) = 1000 / 1 = 1000.

AI explanation

The number of small balls formed equals the total volume of the large sphere divided by the volume of one small ball. Using the sphere volume formula, the large sphere's volume is 4 divided by 3 multiplied by pi multiplied by 10 cubed, and each small ball has a volume of 4 divided by 3 multiplied by pi multiplied by 1 cubed. Dividing the two quantities causes the 4 divided by 3 multiplied by pi terms to cancel out, leaving 10 cubed divided by 1 cubed. Calculating 10 cubed gives exactly 1000 balls.

Keep practicing — related questions