Question

a cone has a height of 14 millimeters and a radius of 10 millimeters. what is its volume? round your answer to the nearest hundredth. cubic millimeters submit work it out not feeling ready yet? these can help: area of circles lesson: volume of cones company | membership | blog | help center | user guides | tell us what you think | testimonials | careers | contact us | terms of service | privacy policy ixl learning © 2025 ixl learning. all rights reserved. follow us

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\(r = 10\)毫米，\(h = 14\)毫米，\(\pi\)取\(3.14\)，则\(V=\frac{1}{3}\times3.14\times10^{2}\times14\)。
先计算\(10^{2}=100\)，式子变为\(V=\frac{1}{3}\times3.14\times100\times14\)。
再计算\(3.14\times100 = 314\)，式子变为\(V=\frac{1}{3}\times314\times14\)。
接着计算\(314\times14 = 4396\)，式子变为\(V=\frac{4396}{3}\)。
\(\frac{4396}{3}\approx1465.33\)（立方毫米）

Answer:

\(1465.33\)