A solid cylinder has radius r cm and height h cm. The volume of this cylinder is
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A solid cylinder has radius r cm and height h cm. The volume of this cylinder is 250π cm3 and the surface area is A cm2.
a. Express h in terms of r.
b. Show that A = 2πr2 + 500π/r.
c. Find dA/dr and d2A/dr2.
d. Find the value for r for which there is stationary value of A.
e. Determine the magnitude and nature of this stationary value.
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a The volume of a cylinder is given by V r2h We are given that V 250 cm3 so we ...View the full answer
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Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
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