Question

what is the volume of this sphere?
round your answer to the nearest hundredth.
8 m
cubic meters

Explanation:

Step1: 确定半径

已知直径为\(8m\)，半径\(r=\frac{8}{2}=4m\)。

Step2: 代入球体体积公式

球体体积公式为\(V = \frac{4}{3}\pi r^{3}\)，将\(r = 4\)代入可得：
\(V=\frac{4}{3}\times\pi\times4^{3}\)
\(=\frac{4}{3}\times\pi\times64\)
\(=\frac{256\pi}{3}\)

Step3: 计算并四舍五入

\(\frac{256\pi}{3}\approx\frac{256\times3.14159}{3}\approx268.08\)（\(\pi\)取\(3.14159\)）

Answer:

\(268.08\)