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a cone has a height of 5.5 centimeters and a diameter of 6 centimeters.…

Question

a cone has a height of 5.5 centimeters and a diameter of 6 centimeters. what is its volume? round your answer to the nearest hundredth. cubic centimeters

Explanation:

Step1: 求圆锥底面半径

已知圆锥直径\(d = 6\)厘米,根据半径\(r=\frac{d}{2}\),可得\(r=\frac{6}{2}=3\)厘米。

Step2: 代入圆锥体积公式计算

圆锥体积公式为\(V=\frac{1}{3}\pi r^{2}h\),其中\(h = 5.5\)厘米,\(r = 3\)厘米,\(\pi\)取\(3.14\)。
将数值代入公式:

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Answer:

\(51.81\)