Question

a cone has a height of 5 meters and a diameter of 6 meters. what is its volume? round your answer to the nearest hundredth. cubic meters 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 learning © 2025 ixl learning. all rights reserved. follow us

Explanation:

Step1: 求圆锥底面半径

已知圆锥直径\(d = 6\)米，根据半径\(r=\frac{d}{2}\)，可得\(r=\frac{6}{2}=3\)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\(h = 5\)米，\(r = 3\)米，\(\pi\)取\(3.14\)，则\(V=\frac{1}{3}\times3.14\times3^{2}\times5\)。
先计算\(3^{2}=9\)，式子变为\(V=\frac{1}{3}\times3.14\times9\times5\)。
再计算\(\frac{1}{3}\times9 = 3\)，式子变为\(V=3.14\times3\times5\)。
接着计算\(3\times5 = 15\)，式子变为\(V=3.14\times15\)。
最后\(3.14\times15=47.10\)。

Answer:

\(47.10\)