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22 September, 01:20

The surface area, S, of a sphere of radius r feet is S = S (r) = 4πr2. Find the instantaneous rate of change of the surface area with respect to the radius r at r = 4.

a. 32pi

b. 16pi

c. 64pi

d. 4pi

+4
Answers (1)
  1. 22 September, 04:19
    0
    S = 4πr^2

    Instantaneous rate of change = dS/dr = 8πr

    At r = 4, Instantaneous rate of change = 8π (4) = 32π.
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