The tank has a radius of 5 feet and is 2/3 full of water. To the nearest cubic foot, how many cubic feet of water are in the tank?
No idea. How tall is the tank?
Then you will have 2/3 * pi r^2 * h ft^3
To calculate the volume of water in the tank, you would need to know the shape of the tank. Since the problem does not specify the shape, we can assume that the tank is a cylinder.
The formula for the volume of a cylinder is V = πr²h, where V represents the volume, r represents the radius of the base, and h represents the height of the cylinder.
Given that the radius of the tank is 5 feet and the tank is 2/3 full of water, we need to find the height of the water column.
The tank being 2/3 full means that 2/3 of the height of the cylinder is filled with water. Let's call this height h.
The total height of the cylinder (including the empty space above the water) can be calculated as 3/2 times the height of the water column: H = (3/2)h.
Since the radius of the tank is 5 feet, the volume of water V can be calculated as:
V = πr²h = π(5²)(2/3)h = 25/3πh.
Now we need to find the value of h. Based on the information given, we don't have the exact value of h. Therefore, we cannot calculate the exact volume of water in the tank.
However, to round off to the nearest cubic foot, you can approximate the value of π as 3.14. So the volume of water V becomes:
V ≈ (25/3)(3.14)(h).
Since the height h is unknown, we can't provide an exact estimate of the volume in cubic feet without that additional information.