Question

what is the volume of this sphere? round your answer to the nearest hundredth. 3.4 in cubic inches submit

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \), where \( r \) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given \( r = 3.4\) inches. Then \( V=\frac{4}{3}\pi(3.4)^{3}\).
First, calculate \( (3.4)^{3}=3.4\times3.4\times3.4 = 39.304\).
Then \( V=\frac{4}{3}\pi\times39.304\).
\( \frac{4}{3}\times39.304 = 52.4053\cdots\).
So \( V = 52.4053\cdots\times\pi\).
Taking \( \pi\approx3.14159\), then \( V\approx52.4053\times3.14159\approx164.63\).

Answer:

\(164.63\)