Question

One design for a solar furnace is based on the paraboloid formed by rotating the parabola x²=3y around its axis of symmetry. The object to be heated in the furnace is then placed at the focus of the paraboloid (assume that x and y are in units of feet). How far from the vertex of the paraboloid is the hottest part of the furnace? Express your answer as a fraction or a decimal rounded to two decimal places.

Please show step by step so I can use the format for the same problem with different variables.

Answer 1