Let R be the region in the first quadrant bounded by the circle x 2 + y
Question:
Let R be the region in the first quadrant bounded by the circle x2 + y2 = r2 and the coordinate axes. Find the volume of a hemisphere of radius r in the following ways.
a. Revolve R about the x-axis and use the disk method.
b. Revolve R about the x-axis and use the shell method.
c. Assume the base of the hemisphere is in the xy-plane and use the general slicing method with slices perpendicular to the xy-plane and parallel to the x-axis.
Step by Step Answer:
a V f r x dx n rx x3 S 2r ...View the full answer
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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