Question

A round balloon has a diameter of 7 inches

Answer 1

Answer:

The right answer is approximately 210.031 cubic inches. (Answer: E)

Step-by-step explanation:

First, we need to convert the diameter ($D$), in inches, of the round balloon to an entirely decimal mode:

$D = 7\,in + \frac{3}{8}\,in$

$D = \frac{56 + 3}{8}\,in$

$D = \frac{59}{8}\,in$

$D \approx 7.375\,in$

The volume of the balloon is modelled after the volume function of a sphere ($V$), in cubic inches:

$V = \frac{\pi}{6}\cdot D^{3}$ (1)

If we know that $D \approx 7.375\,in$, then the volume of the round balloon is:

$V = \frac{\pi}{6}\cdot D^{3}$

$V = \frac{\pi}{6} \cdot (7.375\,in)^{3}$

$V \approx 210.031\,in^{3}$

Hence, the right answer is approximately 210.031 cubic inches.