A spherical balloon is expanding. If the radius is increasing at the rate of 2 inches per minute, at what rate is the volume increasing when the radius is 5 inches?
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v = (4/3)πr³
dv/dt = 4πr²(dr/dt)
=> dv/dt = 4π(5)²(2) = 72 [units]
dv/dt = 4πr²(dr/dt)
=> dv/dt = 4π(5)²(2) = 72 [units]
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