what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 16 cm cubic…

Explanation:

Step1: Find the radius

The diameter is 16 cm, so the radius $r=\frac{16}{2}=8$ cm.

Step2: Use the volume - formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 8$ cm and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times8^{3}$. First, calculate $8^{3}=8\times8\times8 = 512$. Then, $V=\frac{4}{3}\times3.14\times512$. $V=\frac{4\times3.14\times512}{3}=\frac{6430.72}{3}\approx2143.57$ $cm^{3}$.

Answer:

$2143.57$