Assuming that a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,000 cm^3 of air? Round to the nearest tenth. Answer choices: 6.2 cm, 7.5 cm, 12.4 cm and 15.0 cm.

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Answer:

A is correct

Step-by-step explanation:

In this question, we are concerned with. calculating the diameter of a bubble given the volume of the bubble.

Since we have assumed the bubble to be a perfect sphere, it’s volume V = 4/3 * pi * r^3

Plugging the value of V = 1000cm^3 , we have

1000 = 4/3 * pi * r^3

3000/4pi = r^3

r^3 = 238.732

r = cube foot of 238.732

r = 6.20cm

This is same as 6.2cm

The diameter of a bubble containing 1,000 cm³ of air is 12.4 cm.

Sphere is a three dimensional object with a shape like that of a ball.

The volume of a sphere is given by:

Volume = (4/3)πr³

where r is the radius of the sphere.

Given that the sphere has a volume of 1000 cm³, hence:

1000 = (4/3)πr³

r³ = 238.73

r = 6.2 cm

Diameter = 2 * r = 2 * 6.2 = 12.4 cm

The diameter of a bubble containing 1,000 cm³ of air is 12.4 cm.

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