what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 2 cm cubic…

Explanation:

Step1: Recall volume - formula for sphere

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

Step2: Identify the radius

Given that $r = 2$ cm.

Step3: Substitute the radius into the formula

$V=\frac{4}{3}\times3.14\times2^{3}$. First, calculate $2^{3}=2\times2\times2 = 8$. Then, $V=\frac{4}{3}\times3.14\times8=\frac{4\times3.14\times8}{3}=\frac{100.48}{3}$.

Step4: Calculate and round

$V\approx33.49$ cubic - centimeters.

Answer:

$33.49$