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 cm 3 a Express r in terms of h b Show that V 2h(25 h 2 ) c Find the value for h for which there is stationary value of V d Determine the nature of this stationar...

a To express r in terms of h we can use the formula for the volume of a cylinder V r2h We know ...

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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Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

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Question Posted: Sep 01, 2021 12:42 AM

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

Question:

2h

Step by Step Answer:

a To express r in terms of h we can use the formula for the volume of a cylinder V r2h We know ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

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