February 4, 2023
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 + r2
= r2 = 24h - h2
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