Question

a cone has a height of 19 millimeters and a diameter of 18 millimeters. what is its volume? round your answer to the nearest hundredth. cubic millimeters

Explanation:

Step1: 求圆锥底面半径

已知直径\(d = 18\)毫米，根据半径\(r=\frac{d}{2}\)，可得\(r=\frac{18}{2}=9\)毫米。

Step2: 代入圆锥体积公式计算

圆锥体积公式\(V=\frac{1}{3}\pi r^{2}h\)，其中\(h = 19\)毫米，\(r = 9\)毫米，\(\pi\)取\(3.14\)。
则\(V=\frac{1}{3}\times3.14\times9^{2}\times19\)
\(=\frac{1}{3}\times3.14\times81\times19\)
\(=3.14\times27\times19\)
\(=3.14\times513\)
\( = 1610.82\)（立方毫米）

Answer:

\(1610.82\)