7.2: Catchment

Last updated
Save as PDF

Page ID: 11960

\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

11. Calculate the total volume (in gallons) of 2.00 inches of rain falling into a container with a cross-section of 1.00 \(ft^2\).

12. Calculate the total volume (in gallons) of 2.00 inches of rain falling into a cylindrical container with a diameter of 1.00 ft.

13. Calculate the total volume (in gallons) of 2.00 inches of rain falling into a container with a cross-section of 800 \(ft^2\).

14. Calculate the total collectible volume (in gallons) of 2.00 inches of rain falling onto a metal roof with a footprint of 1200 \(ft^2\).

15. Calculate the total collectible volume (in gallons) of 2.00 inches of rain falling onto a tile roof with an area of 1500 \(ft^2\) and a footprint of 1300 \(ft^2\).

16. Calculate the total collectible volume (in liters) of 50.0 mm of rain falling onto a metal roof with a footprint of 160 \(m^2\).

17. Calculate and graph the monthly collection volumes (in gallons) for the rainfall in Columbia, Missouri on a metal roof with a footprint of 1200 \(ft^2\).

18. Calculate and graph the monthly collection volumes (in gallons) for the rainfall in your hometown on a metal roof with a footprint of 800 \(ft^2\).

19. Calculate the monthly collection volume (in gallons) of 2.00 inches of rain falling onto 2.00 acres of the catchment.

20. Take a photo of 100 square feet.