The diameter of a cylinder is 42cm, if the cylinder contains 48510cm? Of water, how deep is the water
in the cylinder?
To find the depth of the water in the cylinder, we can use the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the cylinder and h is the height or depth of the cylinder.
Given that the diameter of the cylinder is 42 cm, the radius (r) is half of the diameter, so r = 21 cm.
Now we can plug in the values into the formula:
48510 cm^3 = π(21 cm)^2h
48510 cm^3 = π(441 cm^2)h
48510 cm^3 = 1382.4πh
Now we can solve for h by dividing both sides by 1382.4π:
h = 48510 cm^3 / 1382.4π
h ≈ 11.67 cm
Therefore, the depth of the water in the cylinder is approximately 11.67 cm.