Question

the volume of this cone is 1,959.36 cubic millimeters. what is the height of this cone? round your answer to the nearest hundredth. 12 mm h ≈ millimeters submit work it out not feeling ready yet? these can help: area of circles lesson: volume of cones

Explanation:

Step1: 写出圆锥体积公式

圆锥体积公式为\(V = \frac{1}{3}\pi r^{2}h\)，已知\(V = 1959.36\)立方毫米，\(r = 12\)毫米，\(\pi\)取\(3.14\)。

Step2: 代入数据求解\(h\)

将数值代入公式\(1959.36=\frac{1}{3}\times3.14\times12^{2}\times h\)。
先计算\(\frac{1}{3}\times3.14\times12^{2}\)：
\(\frac{1}{3}\times3.14\times144 = 150.72\)。
则\(h=\frac{1959.36}{150.72}\)。
\(h = 13.00\)。

Answer:

\(13.00\)