IBDP Mathematics Question Analysis Topic: Mathematics -
A cone is inscribed in a sphere of radius 12cm. If the volume of the cone is maximum, find its height.
Let the cone inscribed in the sphere have a radius and height of r and h cm respectively.
Refer to the diagram.
OAB is a right triangle, in which (12)2 = (h-12)2 + r2
= r2 = 24h - h2
End of analysis. Great!