Question

sheena wants to measure the volume of a ball that is 24 cm across. how should she set up her equation?
$v = \frac{1}{3}\pi24^{2}(12)$
$v = \frac{1}{3}\pi12^{2}(24)$
$v = \frac{4}{3}\pi24^{3}$
$v = \frac{4}{3}\pi12^{3}$

Explanation:

Step1: Identify the radius

The ball is 24 cm across, which means the diameter $d = 24$ cm. The radius $r=\frac{d}{2}=\frac{24}{2}=12$ cm.

Step2: Recall the volume formula for a sphere

The volume formula for a sphere is $V=\frac{4}{3}\pi r^{3}$.

Step3: Substitute the radius into the formula

Substitute $r = 12$ into the formula, we get $V=\frac{4}{3}\pi12^{3}$.

Answer:

$V=\frac{4}{3}\pi12^{3}$ (corresponding to the fourth - option in the multiple - choice list)