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A 5-foot-tall cylindrical container with a diameter of 6 inches is filled with a gas that costs $60 per cubic foot. What is the total value of the gas in the container if it is filled completely?

musiclover0804  Dec 6, 2018

Best Answer 

 #1
avatar+3213 
+3

\(V = \pi r^2 h\\ r = \dfrac{6}{2}~in = \dfrac 1 4 ~ft\\ V = \pi \left(\dfrac 1 4\right)^2 \cdot 5 = \dfrac{5\pi}{16}\\ $60\times \dfrac{5\pi}{16} = $\dfrac{75\pi}{4} \approx $58.90\)

Rom  Dec 6, 2018
 #1
avatar+3213 
+3
Best Answer

\(V = \pi r^2 h\\ r = \dfrac{6}{2}~in = \dfrac 1 4 ~ft\\ V = \pi \left(\dfrac 1 4\right)^2 \cdot 5 = \dfrac{5\pi}{16}\\ $60\times \dfrac{5\pi}{16} = $\dfrac{75\pi}{4} \approx $58.90\)

Rom  Dec 6, 2018
 #2
avatar+26 
+1

Thank you!

musiclover0804  Dec 7, 2018

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