Question

For a parade, a large spherical balloon is filled with a gas that weighs 200 grams per cubic meter. When filled with the gas, the balloon has a diameter of 9 meters. What is the total weight, in grams, of the gas in a filled balloon? Use 3.14 for π .

Answer 1

76302 grams

Explanation:

Diameter of the balloon = 9 m

Density of the gas (weight occupied per m³) = 200 g per m³

Volume of the spherical balloon =
`(4)/(3)\pi r^(3)`

Here r = 4.5 m

Then V=
`(4)/(3)*\ 3.14 * (4.5)^(3)`

V = 381.51 m³

Total weight = Total volume occupied * Density

= 381.51*200 = 76302 grams.