Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 12 - Think and Explain: 68

Answer

Calculus can be used to show that a sphere has minimal surface area for the volume it encloses. A hemispherical shape similarly has less surface area per volume than buildings with rectangular sides. The lower the surface area exposed to the outdoors, the lower the heat loss or gain.
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