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 432 cm3 and the surface area is Acm².
a. Express h in terms of r.

b. Show that

c. Find the value for r for which there is a stationary value of A.
d. Determine the magnitude and nature of this stationary value.

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 10, 2023 11:25 PM

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

Question:

A = 2πr² + 864π r

Step by Step Answer:

a Express h in terms of r The formula for the volume of a cylinder is V r2h so we have V r2h 432 cm3 ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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