Recent content by casey123

  1. C

    Using differentiation to prove

    Yes, it is assuming the volume of the cone is constant. (Thanks for pointing that out!) The question is based around an application concerning ice-cream cones. The first part was to do with maximising the volume of ice-cream that could fit into a cone. The height expression was derived from...
  2. C

    Using differentiation to prove

    Homework Statement 'Use differentiation to prove that as the radius of the base of a cone increases, the height of the cone decreases.' Homework Equations The height has been previously calculated as: h = (507 - 2pi r^3) / pi r^2 The Attempt at a Solution I have worked out...