(Solved): An architect was commissioned to design a nuclear explosion resistant building in the shape of a h ...

An architect was commissioned to design a nuclear explosion resistant building in the shape of a hollow ellipsoid with a solid concrete floor. The building has to be 30 meters wide, 40 meters tall, and 50 meters long. If the wall thickness should not be less than 1 meter and the floor thickness should not be less than 2 meters, estimate the least amount of concrete needed for the building. Hint: A circle is to an ellipse, as a sphere is to an ellipsoid.