Question

what is the volume of this sphere? round to the nearest hundredth. 8 cm v=2144.67 cm³ v=268.08 cm³ v=2144.66 cm³ v=268.09 cm³

Explanation:

Step1: Find the radius

The diameter $d = 8$ cm, and radius $r=\frac{d}{2}=\frac{8}{2}=4$ cm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 4$ into the formula: $V=\frac{4}{3}\pi(4)^{3}=\frac{4}{3}\pi\times64=\frac{256\pi}{3}$.

Step3: Calculate the value and round

$V=\frac{256\pi}{3}\approx\frac{256\times3.14159}{3}\approx268.0825$. Rounding to the nearest hundred - th gives $V\approx268.08$ $cm^{3}$.

Answer:

$V = 268.08$ $cm^{3}$