Question

what is the volume of this sphere? round your answer to the nearest hundredth. 1 cm cubic centimeters

Explanation:

Step1: Recall volume formula

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

Step2: Identify radius value

The radius $r = 1$ cm as given in the problem.

Step3: Substitute and calculate

Substitute $r = 1$ into the formula: $V=\frac{4}{3}\pi(1)^{3}=\frac{4}{3}\pi$.

Step4: Round to nearest hundredth

$V\approx\frac{4}{3}\times3.14159 = 4.19$ (rounded to the nearest hundredth).

Answer:

$4.19$