Complete in Metric Conversions:
How many pounds of water are in a 36 ft diameter tank that is filled to a depth of 24 ft.
To convert from feet to meters:
1 foot = 0.3048 meters
To convert from cubic feet to cubic meters:
1 cubic foot = 0.0283168 cubic meters
To convert from pounds to kilograms:
1 pound = 0.453592 kilograms
Now, let's calculate the volume of the tank in cubic feet:
The tank has a diameter of 36 ft and a depth of 24 ft.
First, we find the radius:
Radius = diameter / 2
Radius = 36 ft / 2 = 18 ft
The volume of a cylinder is given by the formula:
Volume = π × radius^2 × height
Volume = π × 18 ft^2 × 24 ft = 108 π cubic feet
Now, we need to convert this volume from cubic feet to cubic meters:
Volume = 108 π cubic feet × 0.0283168 cubic meters/cubic foot
Volume ≈ 3.04339 π cubic meters
Finally, let's convert the volume of water from cubic meters to pounds:
1 cubic meter of water weighs approximately 1000 kilograms.
1 kilogram = 2.20462 pounds
Volume in pounds = Volume in cubic meters × 1000 kilograms/cubic meter × 2.20462 pounds/kilogram
Volume in pounds ≈ 3043.39 π pounds
Thus, the approximate weight of water in the tank is 3043.39 π pounds.