A solid cylinder has radius r cm and height h cm The volume of this cylinder is 250 cm 3 and the surface area is A cm 2 a Express h in terms of r b Show that A 2r 2 500 r c Find dA dr and d 2 A dr 2 d Find the value for r for which there is stationary value of A e Determine the magnitude and nature...

a The volume of a cylinder is given by V r2h We are given that V 250 cm3 so we ...

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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Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

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Question Posted: Sep 01, 2021 12:45 AM

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A solid cylinder has radius r cm and height h cm. The volume of this cylinder is

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

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