A water tank is 5m tall and has a diameter of 3,5. Calculate the volume of the tank using the given formulae
Since you are using the word "diameter" we can safely assume that
your water tank is a cylinder.
V = πr^2 h
= π(3.5/2)^2 (5) m^3 = ....
To calculate the volume of the water tank, we can use the formula for the volume of a cylinder:
V = π * r^2 * h,
where V is the volume, r is the radius, and h is the height.
First, we need to calculate the radius of the tank. The diameter is given as 3.5m, so the radius (r) is half of that:
r = 3.5 / 2 = 1.75m.
Next, we can substitute the values into the formula to calculate the volume:
V = π * (1.75)^2 * 5.
Now we can calculate the volume using a calculator:
V ≈ 3.14 * (1.75)^2 * 5.
V ≈ 3.14 * 3.0625 * 5.
V ≈ 48.154375.
Therefore, the volume of the water tank is approximately 48.15 cubic meters.
To calculate the volume of a cylindrical tank, we can use the following formula:
Volume = π * r^2 * h
First, let's find the radius (r) of the tank. The diameter (d) is given as 3.5m, and we know that the radius is half of the diameter:
r = d / 2 = 3.5 / 2 = 1.75m
Next, we determine the height (h) of the tank, which is given as 5m.
Plugging these values into the formula, we get:
Volume = π * (1.75)^2 * 5
To calculate the volume, we need to multiply π (pi) by the square of the radius (1.75^2), and then multiply the result by the height (5).
Using a calculator, we find:
Volume ≈ 3.14 * 1.75^2 * 5
Volume ≈ 3.14 * 3.0625 * 5
Volume ≈ 48.51 cubic meters
Therefore, the volume of the water tank is approximately 48.51 cubic meters.