how many gallons of water will a tank measuring 66 inches in diameter and 24 inches in height,hold?
Since the data are in inches, I assume the answer would be in Americal gallons that is equivalent to about 3.8 litres.(as opposed to the Imperial gallon, about 4.54 litres).
Vomume = πd²h/4
=π(66)²*24/4
=26136π in³
Since 1000 cubic inches equal 4.329 US gal(liq.),
the box will hold
26136π/1000*4.329 gal
approx. 355 gal.
To calculate the gallons of water the tank can hold, you need to use the formula for the volume of a cylinder. The formula for the volume of a cylinder is:
Volume = π * r^2 * h
Where:
- π (pi) is a mathematical constant approximately equal to 3.14159
- r is the radius of the cylinder (half the diameter)
- h is the height of the cylinder
To find the radius, divide the diameter by 2:
r = diameter / 2 = 66 inches / 2 = 33 inches
Now, substitute the values into the volume formula:
Volume = π * (33 inches)^2 * 24 inches
To get the volume in gallons, you need to convert the volume from cubic inches to gallons. There are 231 cubic inches in a gallon.
Let's do the calculations:
Volume = 3.14159 * (33 inches)^2 * 24 inches
Volume = 3.14159 * 1089 square inches * 24 inches
Volume = 81,681.84 cubic inches
To convert cubic inches to gallons, divide the volume by 231:
Volume in gallons = 81,681.84 cubic inches / 231 cubic inches per gallon
Volume in gallons ≈ 353.78 gallons
Therefore, the tank will hold approximately 353.78 gallons of water.