what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 14 in cubic…

Explanation:

Step1: Identify the radius

The diameter is 14 in, so the radius $r = \frac{14}{2}=7$ in.

Step2: Apply the volume - formula for a sphere

The volume formula of a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 7$ and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times7^{3}$. First, calculate $7^{3}=7\times7\times7 = 343$. Then, $V=\frac{4}{3}\times3.14\times343$. $V=\frac{4\times3.14\times343}{3}=\frac{4308.08}{3}\approx1436.03$ cubic inches.

Answer:

$1436.03$