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1. The radius of a sphere is r inches at time t seconds. Find the radius when the rates of increase of the surface area and the radius are numerically equal.

A
1/4π in
B
1/5π in
C
1/3π in
D
1/8π in
E
1/2π in

User Icon for Steve Steve answered
11 years ago

a = 4πr^2

da/dt = 8πr dr/dt
if the rates are the same,
1 = 8πr, so r = 1/(8π)
So, (D)

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7 years ago

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4 years ago

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1 year ago

Thanks, Steve.