The diagram shows a solid cylinder of radius r cm and height 2h cm cut from a

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The diagram shows a solid cylinder of radius r cm and height 2h cm cut from a solid sphere of radius 5 cm. The volume of the cylinder is V cm3.

a. Express r in terms of h.

b. Show that V = 2πh(25 – h2).

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

d. Determine the nature of this stationary value.

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