The diagram shows a solid formed by joining a hemisphere of radius r cm to a cylinder of radius r cm and height h cm The surface area of the solid is 320 cm 2 and the volume is V cm 3 a Express h in terms of r b Show that c Find the exact value of r such that V is a maximum 1 1 h...

We can start by breaking down the solid into two parts a hemisphere and a cylinder a The surface are ...

The diagram shows a solid formed by joining a hemisphere of radius r cm to a cylinder

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The diagram shows a solid formed by joining a hemisphere of radius r cm to a cylinder of radius r cm and height h cm. The surface area of the solid is 320 πcm² and the volume is V cm³.

a. Express h in terms of r.

b. Show that

c. Find the exact value of r such that V is a maximum.

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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 solid formed by joining a hemisphere of radius r cm to a cylinder

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1 1 h

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We can start by breaking down the solid into two parts a hemisphere and a cylinder a The surface are...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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