How much larger, in volume, is one large ball that has a radius of 21 inches than the total volume of 3 balls that each have a radius of 4 inches? Use 3.14 for pi. Click HERE for Help video. (10 points) The larger ball is cubic inches larger than the 3 smaller balls.
The formula for the volume of a sphere is V = (4/3)πr^3.
For the large ball with a radius of 21 inches:
V_large = (4/3) * 3.14 * 21^3
V_large = (4/3) * 3.14 * 9261
V_large = 43957.88 cubic inches
For each of the smaller balls with a radius of 4 inches:
V_small = (4/3) * 3.14 * 4^3
V_small = (4/3) * 3.14 * 64
V_small = 268.19 cubic inches
Total volume of 3 smaller balls: 3 * 268.19 = 804.57 cubic inches
Difference in volume: 43957.88 - 804.57 = 43153.31 cubic inches
Therefore, the larger ball is 43153.31 cubic inches larger than the total volume of the 3 smaller balls.