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Question
alec is finding the volume of two cones. the smaller cone has a radius of 8 inches and a height of 3 inches. the larger cone has the same radius but a height of 6 inches. what is the volume, in cubic inches, of the smaller cone? 201π 21π 64π 85π
Step1: 写出圆锥体积公式
圆锥体积公式为\(V = \frac{1}{3}\pi r^{2}h\)(\(r\)是底面半径,\(h\)是高)。
Step2: 代入小圆锥数据计算
已知小圆锥半径\(r = 8\)英寸,高\(h = 3\)英寸,代入公式得\(V=\frac{1}{3}\pi\times8^{2}\times3\)。
先计算\(8^{2}=64\),再计算\(\frac{1}{3}\times3 = 1\),则\(V = 64\pi\)。
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\(64\pi\)