Question

what is the volume of this sphere? round your answer to the nearest hundredth. 14.2 in cubic inches

Explanation:

Step1: Identify the radius

The diameter is 14.2 in, so the radius $r=\frac{14.2}{2}=7.1$ in.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 7.1$ into the formula: $V=\frac{4}{3}\pi(7.1)^{3}$.

Step3: Calculate the volume

$V=\frac{4}{3}\times\pi\times7.1^{3}=\frac{4}{3}\times\pi\times357.911\approx\frac{4}{3}\times3.14159\times357.911$.
$V\approx1493.53$ cubic - inches.

Answer:

$1493.53$