Question

How much air, to the nearest tenth of a cubic inch, is being held by a spherical balloon with a diameter of 12 inches?

Answer 1

Given that the diameter of the spherical balloon is = 12 inches.

So, the radius of the balloon will be = d/2 = 12/2 inches = 6 inches

Now the volume of the sphere is given as V

`V=(4)/(3)\pi r^3`

So the required volume will be

`\begin{gathered} V=(4)/(3)*(22)/(7)*6*6*6\text{ cubic inches} \\ V=(4*22*2*6*6)/(7)\text{ cubic inches} \\ V=(6336)/(7)\text{ cubic inches = 905.14 cubic inches} \end{gathered}`

After roundoff to the nearest tenth answer will be 905.10 cubic inches.

Hence, 905.10 cubic inches of air was held by the balloon