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 $\displaystyle 9\sin{(\sqrt{t+1})}$ gallons per minute. How many gallons of water are in the tank at the end of 6 minutes?
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 $\displaystyle 9\sin{(\sqrt{t+1})}$ gallons per minute. How many gallons of water are in the tank at the end of 6 minutes?
$\displaystyle V(6) = 81.637 - \int_0^6 9\sin{\sqrt{t+1}} \, dt$