A tank is full of water. Find the work W required to pump the water out of the spout.
r=6
h=3
depends. where's the spout?
To find the work required to pump the water out of the spout, we need to first calculate the volume of the water in the tank, and then multiply it by a constant representing the work required to lift a unit volume of water.
The volume V of a cylindrical tank with radius r and height h is given by the formula:
V = πr^2h
In this case, the radius (r) is given as 6 and the height (h) is given as 3. So we can substitute these values into the formula to find the volume:
V = π(6^2)(3)
V = π(36)(3)
V = 108π
Now, we also need to determine the work required to pump a unit volume of water. This is usually given as a constant value. Let's assume the constant is C, where C represents the amount of work required to pump one unit volume of water.
Finally, to find the total work W required to pump the water out of the spout, we multiply the volume V by the constant C:
W = CV
Since we don't have the value of C, we can't calculate the exact work required. However, if you have the value of C, you can substitute it into the equation to find the work required to pump the water out of the spout.