A faucet is turned on at 9:00am and water starts to flow into a tank at the rate of r(t)=9√t,?
where t is time in hours after 9:00am and the rate r(t) is in cubic feet per hour.
1. How much water, in cubic feet, flows into the tank from 10:00am to 1:00pm?
2. How many hours after 9:00am will there be 151 cubic feet of water in the tank? Round your answer to the nearest tenth.
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Hint:
V(t) = integrate r(t)dt