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 what is the answer
The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.
For the large ball with a radius of 21 inches:
V1 = (4/3)π(21)³
V1 = (4/3)(3.14)(9261)
V1 = 39,004.56 cubic inches
For each of the smaller balls with a radius of 4 inches:
V2 = (4/3)π(4)³
V2 = (4/3)(3.14)(64)
V2 = 268.08 cubic inches
The total volume of the 3 smaller balls:
Total V2 = 3 * V2
Total V2 = 3 * 268.08
Total V2 = 804.24 cubic inches
The difference in volume between the large ball and the 3 smaller balls:
Difference = V1 - Total V2
Difference = 39,004.56 - 804.24
Difference = 38,200.32 cubic inches
Therefore, the larger ball with a radius of 21 inches is approximately 38,200.32 cubic inches larger in volume than the total volume of the 3 smaller balls with a radius of 4 inches.