Question

what is the volume of this sphere? round your answer to the nearest hundredth. 34 cm cubic centimeters

Explanation:

Step1: Find the radius

The diameter $d = 34$ cm, and the radius $r=\frac{d}{2}=\frac{34}{2}=17$ cm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 17$ into the formula: $V=\frac{4}{3}\pi\times(17)^{3}=\frac{4}{3}\pi\times4913$.

Step3: Calculate the volume

$V=\frac{19652\pi}{3}\approx\frac{19652\times3.14159}{3}\approx20579.59$ $cm^{3}$.

Answer:

$20579.59$