Question

what is the volume of this sphere? round your answer to the nearest hundredth. 26 cm cubic centimeters

Explanation:

Step1: Find the radius

The diameter $d = 26$ cm, and the radius $r=\frac{d}{2}=\frac{26}{2}=13$ cm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 13$ into the formula: $V=\frac{4}{3}\pi(13)^{3}=\frac{4}{3}\pi\times2197$.

Step3: Calculate the volume

$V=\frac{8788\pi}{3}\approx\frac{8788\times3.14159}{3}\approx9198.59$ $cm^{3}$.

Answer:

$9198.59$ $cm^{3}$