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Math Help - Related Rates

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    Related Rates

    A spherical tank contains 81.637 gallons of water at the time t = 0 minutes. For the next 6 minutes, water flows out of the tank at the rate of 9\sin{(\sqrt{t+1})} gallons per minute. How many gallons of water are in the tank at the end of 6 minutes?
    Last edited by Shyam; April 20th 2009 at 04:40 PM.
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    Quote Originally Posted by Shyam View Post
    A spherical tank contains 81.637 gallons of water at the time t = 0 minutes. For the next 6 minutes, water flows out of the tank at the rate of 9\sin{(\sqrt{t+1})} gallons per minute. How many gallons of water are in the tank at the end of 6 minutes?
    V(6) = 81.637 - \int_0^6 9\sin{\sqrt{t+1}} \, dt
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