Calculus

Oil from a ruptured tanker spreads in a circular pattern. If the radius of the circle increases at the constant rate of 1.5 feet per second, how fast is the enclosed area increasing at the end of 2 hours?

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  1. A=πr²

    dr/dt=1.5 ft/s
    r=1.5t
    dA/dt = dA/dr * dr/dt
    =2πr * 1.5 sq.ft/s
    =3πr
    =3π(1.5*2*3600)
    =28800π sq.ft/s

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  2. Oil spills out of a tanker at rate of 50ft3 per minute. The oil spreads in a 3
    circle with thickness of 1 ft. Determine the rate at which the radius of the oil is increasing 48
    when the radius reaches 200 ft.

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  3. But it's 10 mins instead of two hr

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  4. They reuse the questions from ur generation??? Bruhhh my generation is messed up . Hs class of 293456677

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