Question

The volume of a soap bubble is 1,203.6 mm^3. Find the radius and diameter of the soap bubble. Use 3.14 for it.​

Answer 1

The radius of the soap bubble=6.6 mm

The diameter of the soap bubble=13.2 mm

Step-by-step explanation:

The volume of the soap bubble is given in the problem and using this information we have to calculate its radius and diameter.

$volume=1203.6mm^3$

The soap bubble is in the shape of a sphere and we can use the equation of the volume of the sphere in this problem.

$volume=\frac{4}{3} \pi r^3\\1203.6=\frac{4}{3} \times 3.14\times r^3\\r^3=\frac{1203.6\times 3}{4\times3.14} \\r^3=287.48\\r=6.59 mm$

The radius of the soap bubble is 6.6 mm.

$diameter=2\times radius\\=2\times 6.6\\13.2 mm$

The diameter of the soap bubble is 13.2 mm