how many gallons is 154 inches round by 65.5 inches height?

Answer 1

If it is 154 inches around we need the radius.

154 = 2 x pi x r
r = 154/(2 x pi) = 154/(2 x 3.14159)
r = 24.51

Now we need the area of the base = pi x r^2 = 3.14159 x (24.432)^2

base = 1887.26

volume = base x height = 1887.26 x 65.5 = 123,615.485

convert in^3 to gals (there are 231 in^3 per gallon)

123,615.484 in^3 / 231 = 535.132 gal

HTH

Charles

Answer 2

If 154 inches round means that the circumference is 154", then find the diameter by dividing by pi. Otherwise, perhaps the diameter is 154".

Then, find the volume of the cylinder by multiplying the base area by the height. V = pi * d^2 * h / 4, which will be in cubic inches.

Convert cubic inches to gallons. (231 cubic inches per gallon)

Answer 3

Clue: "Round" meaning a cylinder with a circular base.

You have the circumference of the cylinder (154").
You know the value of PI = 3.14
PI x diameter = circumference of a circle
solving for diameter :. circumference / PI = diameter
154 / 3.14 = 49.04 inches

Radius = 1/2 the diameter
49.04 / 2 = 24.52 inches

Picture the cylinder standing on end.
The area of a circle (the base of the cylinder) is PI x radius^2.
3.14 x 24.52 x 24.52 = 1,887.86 square inches

You know the height of the cylinder = 65.5 inches

Volume of a cylinder = area of the base x height
1,887.86 x 65.5 = 123,655.06 cubic inches

1 gallon = 231 cubic inches therefore
123,655.06 / 231 = 535.3 gallons

Hope I didn't lose you along the way..

Answer 4

1 gallon is 231 cubic inches. Calculate the volume of the cylinder and then convert to gallons.

Answer 5

a little over 535 gallons. My first answer, I read your question wrong.

If you're looking at a particular tank, it's probably advertised as a 500 gallon tank. Is it a septic tank by any chance? If so, the volume is determined by the height of the bottom of the outlet, not the top of the tank.