Suppose a sphere of radius r is sliced by two horizontal planes h units apart (see figure).

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Suppose a sphere of radius r is sliced by two horizontal planes h units apart (see figure). Show that the surface area of the resulting zone on the sphere is 2πrh, independent of the location of the cutting planes.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Apr 06, 2019 11:16 AM

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Suppose a sphere of radius r is sliced by two horizontal planes h units apart (see figure).

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h

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for a x ah The surface area is S 27 fath r 2 1 ...View the full answer

Calculus Early Transcendentals

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