Question

a cone has a height of 16 centimeters and a radius of 10 centimeters. what is its volume? round your answer to the nearest hundredth. cubic centimeters

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\(r = 10\)厘米，\(h = 16\)厘米，\(\pi\)取\(3.14\)，代入公式可得：
\(V=\frac{1}{3}\times3.14\times10^{2}\times16\)
\(=\frac{1}{3}\times3.14\times100\times16\)
\(=\frac{1}{3}\times314\times16\)
\(=\frac{5024}{3}\)
\(\approx1674.67\)（立方厘米）

Answer:

\(1674.67\)