Calculate the volume of spherical balloon with a 1.37 foot diameter.?

Question

V= 4/3(3.14(radiuscubed) The ft need tobe converted to liters before it can be cubed and i'm having a hard time trying to find something to convert ft to Liters. Can anybody help?

Answer 1

you cannot convert feet to liters; liter is a volume; ft is a distance.

You can convert cubic ft to liters.

Now to do this

1 L = 1,000 cm^3
1 ft = 12 inches
1 inch = 2.54 cm

therefore

1 ft = 12 inches x 2.54 cm / inch = 12 x 2.54 cm

and

1 ft^3 = [12 x 2.54]^3 cm^3

OR

1 cm^3 = {1/[12 x 2.54]}^3 ft^3

or

1 Liter = 1000 cm^3 = {1000/[12 x 2.54]}^3 ft^3

OR there is ({1000/[12x2.54]}^3 ft^3)/ Liter)

for your problem 1.37 ft diameter = 0.685 ft radius

V = {4(Pi)(0.685^3)/3 ft^3} /({1000/[12x2.54]}^3 ft^3/Liter)

carefully go over each step I did and UNDERSTAND what I did - then crank out the numbers.

Answer 2

you cannot convert ft to liters, you can only convert cubic feet to liters. So calculate the cubic feet of the baloon, then multiply that value by the conversion factor to liters (I think its about 28 liters to ft^3). The reason you cannot convert ft to liters is that ft measures distance, and liters measure volume, apples and oranges