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 calculated using the formula V = (4/3) * pi * 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 = (4/3) * 3.14 * 9261
V_large = 43,900.88 cubic inches
For each small ball with a radius of 4 inches:
V_small = (4/3) * 3.14 * (4)^3
V_small = (4/3) * 3.14 * 64
V_small = 268.09 cubic inches
The total volume of 3 small balls:
Total_small = 3 * V_small
Total_small = 3 * 268.09
Total_small = 804.27 cubic inches
The difference in volume between the large ball and 3 small balls:
Difference = V_large - Total_small
Difference = 43,900.88 - 804.27
Difference = 43,096.61 cubic inches
Therefore, the large ball with a radius of 21 inches has a volume 43,096.61 cubic inches larger than the total volume of 3 balls with a radius of 4 inches.