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**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.

**Answer:**

For IBDP Mathematics, you should know:

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} + r^{2}

= r^{2} = 24h - h^{2}

Work hard for your IBDP Mathematics examination!

End of analysis. Great!