Tin can versus cylinder capacity

High school · ●○○○○ 10 pts

A tin can has a rectangular base of length

5\ \mathrm{cm}

and width

4\ \mathrm{cm}

, and height

15\ \mathrm{cm}

. A plastic cylinder has a circular base of diameter

7\ \mathrm{cm}

and height

10\ \mathrm{cm}

. Use

\pi \approx \frac{22}{7}

. By how many

\mathrm{cm}^3

is the capacity of the plastic cylinder greater than the capacity of the tin can?