A balloon is inflated such that a radius is 7 cm what is the volume of air inside the balloon in milliliters

Respuesta :

Answer:

[tex]V=14373.33\ \text{mm}^3[/tex]

Explanation:

It is given that,

The radius of the inflated balloon is 7 cm.

We need to find the volume of air inside the balloon in milliliters.

The balloon is in the shape of a sphere whose volume is given by :

[tex]V=\dfrac{4}{3}\pi r^3\\\\\text{Put r = 7 cm}\\\\V=\dfrac{4}{3}\times \dfrac{22}{7}\times 7\times 7\times 7\\\\V=1437.33\ \text{cm}^3\\\\\text{We know that, 1 cm = 10 mm}\\\\\text{So},\\\\V=14373.33\ \text{mm}^3[/tex]

Hence, the volume of the air inside the balloon is [tex]14373.33\ \text{mm}^3[/tex].