Consider the cap of thickness h that has been sliced from a sphere of radius r (see figure) Verify that the volume of the cap is h 2 (3r h) 3 using (a) The washer method (b) The shell method (c) The general slicing method Check for consistency among the three methods and check the special cases h r...

a V r4r y dy n ry v3 2r3 r r h r h3 h 3r h b V 2 S 0 2 ...

Consider the cap of thickness h that has been sliced from a sphere of radius r (see

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Consider the cap of thickness h that has been sliced from a sphere of radius r (see figure). Verify that the volume of the cap is πh² (3r - h)/3 using

(a) The washer method.

(b) The shell method.

(c) The general slicing method. Check for consistency among the three methods and check the special cases h = r and h = 0.

Consider the cap of thickness h that has been sliced

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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 09, 2019 01:24 PM

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Consider the cap of thickness h that has been sliced from a sphere of radius r (see

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h

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Calculus Early Transcendentals

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