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.
The volume of a sphere is given by the formula V = (4/3) * π * r^3, where r is the radius of the sphere.
For the large ball with a radius of 21 inches:
V_large = (4/3) * 3.14 * 21^3
V_large ≈ 31064.78 cubic inches
For each of the three small balls with a radius of 4 inches:
V_small = (4/3) * 3.14 * 4^3
V_small ≈ 268.09 cubic inches
Total volume of the three small balls:
Total_small = 3 * V_small
Total_small ≈ 804.27 cubic inches
Difference in volume:
Difference = V_large - Total_small
Difference ≈ 30260.51 cubic inches
Therefore, the large ball with a radius of 21 inches is approximately 30260.51 cubic inches larger in volume than the total volume of the three small balls with a radius of 4 inches.