Problem
Calculate the work required to pump water into the tank shown below, through a hole at the base of the tank. The water source is at ground level. Hint: Density of water \( =62.4 \mathrm{lb} / \mathrm{ft}^{3} \). Round your answer to the nearest whole number. Enter
Solution
Step 1 ：\(V = \frac{1}{3}\pi h r^2 \)
Step 2 ：\(W = \rho \int_0^h (h - y)A(y) \, dy \)
Step 3 ：\(W = 62.4 \int_0^h (h - y)\frac{y^2}{h^2}\pi \, dy \)
