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

$V=\frac{4}{3}\pi r^3$

So the required volume will be

$\begin{gathered} V=\frac{4}{3}\times\frac{22}{7}\times6\times6\times6\text{ cubic inches} \\ V=\frac{4\times22\times2\times6\times6}{7}\text{ cubic inches} \\ V=\frac{6336}{7}\text{ cubic inches = 905.14 cubic inches} \end{gathered}$

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