The diagram shows a right circular cone of base radius r cm and height h cm cut from a solid sphere of radius 10 cm The volume of the cone is V cm 3 a Express r in terms of h b Show that c Find the value for h for which there is a stationary value of V d Determine the magnitude and nature of this s...

First we need to find the relationship between the radius of the cone and its height a Express r in ...

The diagram shows a right circular cone of base radius r cm and height h cm cut

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The diagram shows a right circular cone of base radius r cm and height h cm cut from a solid sphere of radius 10 cm. The volume of the cone is V cm³.

a. Express r in terms of h.

b. Show that

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

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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The diagram shows a right circular cone of base radius r cm and height h cm cut

Question:

b. r

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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