The diameter of a cylinder is 42 cm . if the cylinder contains 48510cm if water how deep is the water
To find the depth of the water in the cylinder, we need to calculate the volume of the cylinder and then divide it by the cross-sectional area of the cylinder.
The formula for the volume of a cylinder is:
V = πr^2h
Where:
V = volume of the cylinder
r = radius of the cylinder (half of the diameter)
h = height of the cylinder
Given the diameter of the cylinder is 42 cm, the radius (r) is half of the diameter, which is 21 cm. With this information, we can calculate the volume of the cylinder using the given volume of water:
48510 cm³ = π(21)²h
48510 = 441πh
h = 48510 / (441π)
h ≈ 35 cm
Therefore, the depth of the water in the cylinder is approximately 35 cm.