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There is 2145.52 cubic inches of air in the ball

Step-by-step explanation:

A round ball is an example is hollow sphere. In order to find how much air the ball holds, the volume of the sphere needs to be found.

Given

Radius = r = 8 in

The volume of sphere is given by:

Putting the values we get

Hence,

There is 2145.52 cubic inches of air in the ball

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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