As illustrated in the accompanying figure, the tank ofan oil truck is 18 ft long and has
Chapter 10, Problem 50(choose chapter or problem)
As illustrated in the accompanying figure, the tank of an oil truck is 18 ft long and has elliptical cross sections that are 6 ft wide and 4 ft high. (a) Show that the volume of oil in the tank (in cubic feet) when it is filled to a depth of
feet is
\(V=27\left[4 \sin ^{-1} \frac{h-2}{2}+(h-2) \sqrt{4 h-h^{2}}+2 \pi\right]\)
(b) Use the numerical root-finding capability of a CAS to determine how many inches from the bottom of a dipstick the calibration marks should be placed to indicate when the tank is \(\frac{1}{4}, \frac{1}{2}, \text { and } \frac{2}{4}\) full.
Equation Transcription:
Text Transcription:
V=27[4sin^-1 h-2/2 +(h-2) sqrt 4h-h^2 +2pi]
1/4 , 1/2 , and 3/4
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