The volume of a cylinder is 47x cubic units and its height is x units. Which expression represents the radius of the cylinder, in units?
O 2x
O 4x
O 2pix2
O 4pix2

2x

Step-by-step explanation:

The volume of the cylinder is given by the following formula:

pi.r².h

4pix³ = pi x r² x x

r² = 4pix³/pix

r² = 4x²

Rooting both sides

r = 2x

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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