Assignment:
A packaging design team has determined that a cost-efficient way of manufacturing cylindrical containers for their products is to have the volume, V, in cubic centimeters, modeled by: V(x) = 9pix^3 + 51pix^2 + 88pix + 48pi. The height, h, in centimeters, of each cylinder is a linear function given by h(x) = x + 3.
Divide the polynomial 9pix^3 + 51pix^2 + 88pix + 48pi by x + 3. Interpret the meaning of the quotient in terms of this context. Determine an expression for the radius in terms of x.
Provide complete and step by step solution for the question and show calculations and use formulas.