Answer to Question #241404 in Civil and Environmental Engineering for Mr. Lee

Question #241404

A closed right cylindrical tank with a height of 8 m and 3 m in diameter contains water to a depth of 5m. If the tank is laid in a horizontal position, find the depth of water.


1
Expert's answer
2021-09-25T11:43:42-0400

"cos\\frac{1}{2}\u03b8=0.5\/2.5"


"\u03b8=156.926^\u2218"

"\u03b1=360^\u2218\u2212\u03b8=360^\u2218\u2212156.926^\u2218"


"\u03b1=203.074^\u2218"

Area of cross section:

"A_b=1\/2r^2(\u03b1_{rad}+sin\u03b8_{deg})"

"A_b=12.3 ft^2"

Volume of water:


"V_w=A_bL=12.3(8)"

"V_w=98.4"


Depth of water in vertical position:


"Vw=\u03c0r^2h"

"98.4=\u03c0(2.5^2)h"


"h=5.01\\space ft \\space\\space answer"


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