Here is problem 1:
A rocket is launched from a platform 10 feet from the ground. At its peak, it is 180 feet high and has traveled 100 feet from the base of the platform.
What would the equation be for that? The platform has the coordinates of (0,10)
A cylinder is inscribed in a sphere, which has the radius 20. Call the height of the cylinder h and the radius of the cylinder r.
A) Make an equation in terms of r.
B) What is the maximum and minimum volumes it can have?