Question

a cone has a height of 17 meters and a radius of 8 meters. what is its volume? round your answer to the nearest hundredth. cubic meters

Explanation:

Step1: 写出圆锥体积公式

圆锥体积公式为 \(V=\frac{1}{3}\pi r^{2}h\)，其中\(r\)是底面半径，\(h\)是高。

Step2: 代入数值计算

已知\(r = 8\)米，\(h = 17\)米，代入公式可得：
\(V=\frac{1}{3}\times\pi\times8^{2}\times17\)
\(=\frac{1}{3}\times\pi\times64\times17\)
\(=\frac{1088}{3}\pi\)

Step3: 计算并四舍五入

\(\frac{1088}{3}\pi\approx\frac{1088}{3}\times3.14\)
\(=\frac{3416.32}{3}\approx1138.77\)（立方米）

Answer:

\(1138.77\)