Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

A cylindrical container is to be constructed so that the sum of its height and its diameter is 15 feet.
a) Write an equation relating the height of the cylinder, h, to its radius, r. Solve the equation for h in terms of r.
b) The volume of a cylinder is given V=πr^2h. Use your answer in part A to express the volume of the cylindrical container in terms of r alone. Leave your expression in factored form so that it will be easier to analyze.
c) What are the values of r for which this problem makes sense? Explain.