The diagram shows a right circular cone of base radius r cm and height h cm cut

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The diagram shows a right circular cone of base radius r cm and height h cm cut from a solid sphere 10 cm. The volume of the cone is V cm3.

a. Express r in terms of h.

b. Show that V = 1/3πh2 (20 – h)

c. Find the value for h for which there is stationary value of V.

d. Determine the magnitude and nature of this stationary value.

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