Question

what is the volume of this sphere? round your answer to the nearest hundredth. 5 cm cubic centimeters submit

Explanation:

Step1: Recall the volume formula for a sphere

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

Step2: Substitute the radius into the formula

Given that the radius $r = 5$ cm. Substitute $r = 5$ into the formula:
$V=\frac{4}{3}\pi(5)^{3}=\frac{4}{3}\pi\times125$.

Step3: Calculate the value

$V=\frac{500}{3}\pi$. Using $\pi\approx3.1415926535$, we have $V=\frac{500\times3.1415926535}{3}$.
$V\approx\frac{1570.79632679}{3}\approx523.60$ (rounded to the nearest hundredth).

Answer:

$523.60$