Question

Assuming that a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,000 cm3 of air? Round to the nearest tenth.

Answer 1

12.4

Explanation:

Answer 2

17.85 cm

Explanation:

1) Area of a sphere formula:
`A=4\pi r^(2)`

2) Plug in A: 1000 =
`4\pi r^(2)`

3) Simplify: 1000 = 12.56
`r^(2)`

4) Divide Each Side By 12.56: 79.61783439 =
`r^(2)`

5) Take the Square Root of 79.61783439 to Solve for
`r`: 8.922882628 =
`r`

6) Double
`r` to get the diameter: 8.922882628*2= 17.84576486

7) Round to the Nearest Tenth: 17.85 cm