Question

a balloon (approximate as a sphere) is inflated such that its radius is 7.00 cm. what is the volume of air inside the balloon in ml? (volume of a sphere = $\frac{4}{3}pi r^{3}$ use 3.14 for $pi$)
___ ml
round your answer to three significant figures. do not include units in your answer.

Explanation:

Step1: Identify the formula and values

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$, with $r = 7.00$ cm and $\pi=3.14$.

Step2: Substitute the values into the formula

$V=\frac{4}{3}\times3.14\times(7.00)^{3}$.
First, calculate $(7.00)^{3}=7.00\times7.00\times7.00 = 343$.
Then, $V=\frac{4}{3}\times3.14\times343$.
$\frac{4}{3}\times3.14\times343=\frac{4\times3.14\times343}{3}=\frac{4308.08}{3}\approx1436.03$.

Step3: Round to three significant figures

Rounding 1436.03 to three - significant figures gives 1440.

Answer:

1440