Question

Water flows at 2 feet per second through a cylindrical pipe with a diameter of 8 inches. A cylindrical tank with a diameter of 15 feet and a height of 6 feet collects the water.

a) What is the volume (in cubic inches) of water flowing out of the pipe ?

Answer 1

Step 1: Given

Water flows per second = $2\mathrm{feet}=2*12\mathrm{inches}=24\mathrm{inches}$

Convert diameter to radius

$\mathrm{r}=\frac{8}{2}=4\mathrm{inches}$

Step 2: V = Bh Write the formula for volume

$$\begin{gathered} =\mathrm{\pi }{\left(4\right)}^2\left(24\right)\mathrm{Substitute} \\ =384\mathrm{\pi } \end{gathered}$$

Step 3: $=1206.37$ Use Calculator

Final Answer: The volume is about $1206{\mathrm{in}}^3(\mathrm{per}\mathrm{second})$