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Mustafa is staring at a pizza spinning on a wheel in a glass case.$\newline$The pizza is cut into four even slices. The distance $P(t)$ (in $\mathrm{cm}$ ) between the center of the tastiest looking slice and the door of the glass case as a function of time $t$ (in seconds) can be modeled by a sinusoidal function of the form $a \cdot \cos (b \cdot t)+d$.$\newline$At $t=0$, the center of the tastiest looking slice is farthest from the door, at a distance of $30 \mathrm{~cm}$ away. After $2 \pi$ seconds, it is closest to the door, at a distance of $10 \mathrm{~cm}$.$\newline$Find $P(t)$.$\newline$$t$ should be in radians.$\newline$$$P(t)=$$