A water tank is 5m tall and has a diameter of 3, 5 m.calculate the capacity (volume) of the tank. Use π = 3,14.
To calculate the volume of a cylindrical tank, we can use the formula:
Volume = π * r^2 * h
Where:
- π is the value of π (3.14 in this case)
- r is the radius of the tank (half of the diameter)
- h is the height of the tank
In this case, the diameter of the tank is 3.5m, so the radius is half of that: r = 3.5m / 2 = 1.75m
The height of the tank is given as 5m.
Now we can substitute these values into the formula:
Volume = 3.14 * (1.75m)^2 * 5m
Volume = 3.14 * 3.0625m^2 * 5m
Volume = 48.665625m^3
So, the capacity of the tank is approximately 48.67 cubic meters.
To calculate the capacity or volume of the water tank, you can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Where:
- π is the mathematical constant, approximately equal to 3.14.
- r is the radius of the base of the cylinder.
- h is the height or depth of the cylinder.
Given that the diameter of the tank is 3.5 meters, the radius (r) can be calculated by dividing the diameter by 2:
r = diameter / 2 = 3.5 / 2 = 1.75 meters
The height (h) of the tank is given as 5 meters.
Now, substitute the values into the formula:
Volume = 3.14 * (1.75)^2 * 5
Calculating this equation step by step:
Volume = 3.14 * 3.0625 * 5
Volume = 48.1875 * 5
Volume = 240.9375 cubic meters
Therefore, the capacity or volume of the water tank is approximately 240.9375 cubic meters.