A cylindrical tank has the dimensions a 100cm and 140cm ,if the tank is filled with 275 liters of water what is the depth of water in the tank
If the depth is x cm, then since 1L = 1000cm^3, you have
100*140*x = 275*1000
x = 10.64 cm
To find the depth of water in the cylindrical tank, we'll need to use the formula for the volume of a cylinder. The formula is:
Volume = π * (radius^2) * height
However, we are given the dimensions of the tank as 100cm and 140cm, which are the diameter and the height of the tank. The radius is half the diameter, so we need to divide these dimensions by 2 to get the radius.
Radius = diameter / 2
Plugging in the given values:
Radius = 100cm / 2 = 50cm
Now, we'll convert the volume of water from liters to cubic centimeters since the dimensions of the tank are also in centimeters. One liter is equal to 1000 cubic centimeters.
Volume of water = 275 liters * 1000 cubic centimeters/liter = 275,000 cubic centimeters
Now, we have the radius (50cm) and the volume of water (275,000 cubic centimeters), so we can rearrange the formula and solve for the height:
Volume = π * (radius^2) * height
275,000 = π * (50^2) * height
Dividing both sides of the equation by π * (50^2):
height = 275,000 / (π * 2500)
height ≈ 275,000 / 7853.98
height ≈ 34.98 cm
Therefore, the depth of water in the tank is approximately 34.98 cm.