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
To find the volume of a sphere, you can use the formula V = (4/3) * π * r^3, where V is the volume and r is the radius.
For the large ball with a radius of 21 inches:
V_large = (4/3) * 3.14 * (21)^3
V_large ≈ 32396.15 cubic inches
For each of the smaller 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 3 small balls:
V_total_small = 3 * V_small
V_total_small ≈ 3 * 268.09 ≈ 804.27 cubic inches
Difference in volume:
V_diff = V_large - V_total_small
V_diff ≈ 32396.15 - 804.27 ≈ 31591.88 cubic inches
Therefore, the large ball with a radius of 21 inches is approximately 31,591.88 cubic inches larger in volume than the total volume of the 3 small balls with a radius of 4 inches.