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

Answer:

17.85 cm

Step-by-step 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