A water tank is 5m tall and has a diameter of 3,5m calculate the capacity volume of the tank .
To calculate the capacity volume of a water tank, you need to use the formula for the volume of a cylinder. The volume of a cylinder is given by:
V = π * r^2 * h
Where:
V represents the volume,
π (pi) is a mathematical constant approximately equal to 3.14159,
r is the radius of the circular base of the cylinder,
h is the height of the cylinder.
First, we need to find the radius of the tank by using the diameter given. The radius is half of the diameter.
Given that the diameter of the tank is 3.5m, we can find the radius by dividing it by 2:
Radius (r) = 3.5m / 2 = 1.75m
Now, we can substitute the values into the volume formula:
V = π * (1.75m)^2 * 5m
Calculating this, we have:
V = 3.14159 * (1.75m)^2 * 5m
V ≈ 3.14159 * 3.0625m^2 * 5m
V ≈ 48.79m^3
Therefore, the capacity volume of the water tank is approximately 48.79 cubic meters.