Using Cavalieri’s Principle, write the general equation for the volume of a sphere. To do this, compare the volume of a hemisphere with the volume of the cylinder whose base is the same area as that of the hemisphere first. Upload your work to justify your answer.

(05.03 mc) part a: explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points) part b: make tables to find the solution to 4x = 2x−2. take the integer values of x between −3 and 3. (4 points) part c: how can you solve the equation 4x = 2x−2 graphically? (2 points)