Question

what is the volume of this sphere? round your answer to the nearest hundredth. 10 mm blank cubic millimeters submit

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 $r=10$ mm

Substitute $r=10$ into the formula:
$V = \frac{4}{3}\pi (10)^3$

Step3: Calculate the cubic radius

$(10)^3 = 1000$, so:
$V = \frac{4}{3}\pi \times 1000 = \frac{4000}{3}\pi$

Step4: Compute numerical value

Calculate the decimal value:
$\frac{4000}{3}\pi \approx \frac{4000}{3} \times 3.14159265 \approx 4188.79$

Answer:

4188.79 cubic millimeters