The function $N(t)=137\mathrm{.}325sin(0\mathrm{.}0172t-1\mathrm{.}329)+372\mathrm{.}417$ can be used to estimate the number of minutes of daylight in a certain city for any given day of the year, where $t$ is the day of the year. Use this function to estimate the total amount of daylight in a year $(365$ days$)$ and compare it to the total amount of daylight reported to be $2253\mathrm{.}53$ hours.

According to the function, during a one$-$year period there are $$ minutes of daylight. $($Round to two decimal places as needed.$)$

The total amount of daylight reported, $2253\mathrm{.}53$ hours, is close to the number of hours of daylight predicted by the function, $$ hours.

$($Round to two decimal places as needed.$)$