what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 10 cm…

what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 10 cm cubic centimeters

what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 10 cm cubic centimeters

Answer

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 $r = 10$ cm as given in the problem.

Step3: Substitute values

Substitute $r = 10$ cm and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times10^{3}$.

Step4: Calculate result

First, $10^{3}=1000$. Then $\frac{4}{3}\times3.14\times1000=\frac{4\times3.14\times1000}{3}=\frac{12560}{3}\approx4186.67$ $cm^{3}$.

Answer:

$4186.67$