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
First, let's calculate the volume of the large ball with a radius of 21 inches:
Volume = (4/3) * π * (21)^3
Volume = (4/3) * 3.14 * 9261
Volume = 38565.48 cubic inches
Now, let's calculate the volume of each small ball with a radius of 4 inches:
Volume = (4/3) * π * (4)^3
Volume = (4/3) * 3.14 * 64
Volume = 268.08 cubic inches
Since we have 3 small balls, the total volume of all three small balls is:
3 * 268.08 = 804.24 cubic inches
Now, let's find the difference in volume between the large ball and the total volume of the small balls:
38565.48 - 804.24 = 37761.24 cubic inches
Therefore, the large ball with a radius of 21 inches is 37761.24 cubic inches larger than the total volume of the three small balls with a radius of 4 inches.