what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 2.3 in cubic…

Explanation:

Step1: Recall volume formula

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

Step2: Substitute radius value

Given $r = 2.3$ in and $\pi\approx3.14$, we substitute into the formula: $V=\frac{4}{3}\times3.14\times(2.3)^{3}$. First, calculate $(2.3)^{3}=2.3\times2.3\times2.3 = 12.167$. Then, $V=\frac{4}{3}\times3.14\times12.167$. $\frac{4}{3}\times3.14\times12.167=\frac{4\times3.14\times12.167}{3}$. $4\times3.14\times12.167 = 152.05352$. $V=\frac{152.05352}{3}\approx50.6845$.

Step3: Round the result

Rounding $50.6845$ to the nearest hundredth gives $50.68$.

Answer:

$50.68$