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Two spheres are centered at the same point. The radius of the bigger sphere is R(t) = 1+5t while that of smaller sphere is r(t) = 3t. How fast is the volume between the spheres changing when R= 2r?

Two spheres are centered at the same point. The radius of the bigger sphere is R(t) = 1+5t while that of smaller sphere is r(t) = 3t. How fast is the volume between the spheres changing when R= 2r?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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Two spheres are centered at the same point. The radius of the bigger sphere is R(t) = 1+ 5t while that of smaller sphere is r(t) = 3t. How fast is the volume between the spheres changing when R = 2r?
Transcribed Image Text:Two spheres are centered at the same point. The radius of the bigger sphere is R(t) = 1+ 5t while that of smaller sphere is r(t) = 3t. How fast is the volume between the spheres changing when R = 2r?
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