Question

what is the volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter?

Explanation:

Step1: Recall sphere volume formula

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

Step2: Substitute radius $r=6.6$ cm

$V = \frac{4}{3}\pi (6.6)^3$
First calculate $(6.6)^3 = 6.6 \times 6.6 \times 6.6 = 287.496$

Step3: Compute the volume

$V = \frac{4}{3} \times \pi \times 287.496 \approx \frac{4}{3} \times 3.1416 \times 287.496$
$\frac{4}{3} \times 287.496 = 383.328$
$383.328 \times 3.1416 \approx 1204.3$

Answer:

$1204.3$ cubic centimeters