what is the volume of a sphere with a radius of 36.6 cm, rounded to the nearest tenth of a cubic centimeter? answer cm³

Question

Accepted Answer

# Explanation:
## Step1: Recall the formula for the volume of a sphere
The formula for the volume $ V $ of a sphere with radius $ r $ is $ V=\frac{4}{3}\pi r^{3} $.
## Step2: Substitute the given radius into the formula
Given $ r = 36.6\space\text{cm} $, substitute $ r $ into the formula:
$$
\begin{align*}
V&=\frac{4}{3}\pi(36.6)^{3}\
&=\frac{4}{3}\pi\times36.6\times36.6\times36.6\
&=\frac{4}{3}\pi\times48109.416\
&=\frac{192437.664}{3}\pi\
&\approx64145.888\times\pi\
&\approx64145.888\times3.1415926535\
&\approx201507.4
\end{align*}
$$

# Answer:
$ 201507.4 $

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Question

Explanation:

Step1: Recall the formula for the volume of a sphere

Step2: Substitute the given radius into the formula

Answer: