A ball is placed into a cubed box base of 30 inches and height of 36 inches
Find the difference in space from the sphere and the box. Use 3.14 for π
First, we need to calculate the volume of the sphere and the volume of the box.
Volume of a sphere = 4/3 πr^3
Since the diameter of the ball is equal to the 30-inch base of the box, the radius is half of that:
r = 30 inches / 2 = 15 inches
Volume of sphere = 4/3 * 3.14 * (15)^3
Volume of sphere = 4/3 * 3.14 * 3375
Volume of sphere = 14130 cubic inches
Volume of a cube = side^3
Volume of cube = 30^3
Volume of cube = 27000 cubic inches
Now, we can find the difference in volume between the cube and the sphere:
Difference = Volume of cube - Volume of sphere
Difference = 27000 - 14130
Difference = 12870 cubic inches
Therefore, the difference in space between the sphere and the cube is 12870 cubic inches.