Kinematics: Videos & Practice Problems

The daily outflow of the Snake River in June ($30$ days) is given by $r\left(t\right)=0.12t^2+29.80t+650.25$, with discharge in millions of cubic feet per day and $t=0$ at the start of June. The river drains from Lake Cascade, which holds $0.58{\text{mi}}^3$ of water. What percentage of Lake Cascade's volume passes through the Snake River in June? Round your answer to $2$ decimal places.