a water tank is 5m tall and has diameter of 3, 5m.calculate the capacity of the tank
To calculate the capacity of the tank, we need to find its volume. The volume of a cylindrical tank can be calculated using the formula:
Volume = π * r^2 * h
Where π is a mathematical constant approximately equal to 3.14, r is the radius of the tank, and h is the height of the tank.
Given that the diameter of the tank is 3.5m, we can find the radius by dividing the diameter by 2:
Radius (r) = Diameter / 2 = 3.5m / 2 = 1.75m
The height of the tank is given as 5m, so we can substitute the values into the formula:
Volume = 3.14 * (1.75m)^2 * 5m
Simplifying the equation, we get:
Volume = 3.14 * 3.0625m^2 * 5m
Volume = 48.125m^3
Therefore, the capacity of the tank is approximately 48.125 cubic meters.
v = pi r^2 h
r = 3.5/2
h = 5