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. (1 point)
The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere.
For the large ball with radius 21 inches:
V_large = (4/3) * 3.14 * 21^3
V_large = (4/3) * 3.14 * 9261
V_large = 4.18667 * 9261
V_large = 38,773.4 cubic inches
For each small ball with radius 4 inches:
V_small = (4/3) * 3.14 * 4^3
V_small = (4/3) * 3.14 * 64
V_small = 4.18667 * 64
V_small = 268.08 cubic inches
Total volume of 3 small balls:
V_total_small = 3 * V_small
V_total_small = 3 * 268.08
V_total_small = 804.24 cubic inches
Difference in volume = V_large - V_total_small
Difference in volume = 38,773.4 - 804.24
Difference in volume = 37,969.16 cubic inches
The large ball with radius 21 inches is 37,969.16 cubic inches larger in volume than the total volume of 3 balls with radius 4 inches each.