Question

The volume of a soap bubble is 775. 3 mm. Find the radius and diameter of the soap bubble. Use 3. 14 for it.

The radius of the bubble is about

(Round to the nearest tenth as needed. )

mm.

Answer 1

The radius of soap bubble is 5.702 mm and diameter of soap bubble is 11.404 mm.

What is the formula for spherical volume?

• The volume will be calculated by multiplying the surface area by the diameter, with every point on its surface being equidistant from its centre.
• The following formula is used to compute the volume of a sphere mathematically: A sphere's volume is equal to 4/3(π)r³, where r is the radius of the sphere.

Given: The volume of a soap bubble is 775. 3 mm³

We need to find the radius and diameter of the soap bubble.

We know that,

Volume of  soap bubble = 4/3(π)r³

                     775.3 = 4/3(3.14)(r³)

                            r³= 185.47

                            r = $\sqrt[3]{185.47}$

                            r = 5.702 mm

Radius of soap bubble = 5.702 mm

Diameter of soap bubble = 2(5.702)

                                          = 11.404 mm

Therefore, the radius of soap bubble is 5.702 mm and diameter of soap bubble is 11.404 mm.

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