Question

a cylinder has a height of 15 yards and a diameter of 22 yards. what is its volume? round your answer to the nearest hundredth. cubic yards

Explanation:

Step1: 计算圆柱底面半径

已知圆柱直径\(d = 22\)码，根据半径\(r=\frac{d}{2}\)，可得\(r=\frac{22}{2}=11\)码。

Step2: 计算圆柱底面积

根据圆的面积公式\(S=\pi r^{2}\)，\(\pi\)取\(3.14\)，则\(S = 3.14\times11^{2}=3.14\times121 = 379.94\)平方码。

Step3: 计算圆柱体积

根据圆柱体积公式\(V=Sh\)（\(S\)是底面积，\(h\)是高），已知\(h = 15\)码，所以\(V=379.94\times15=5699.1\)立方码。

Answer:

\(5699.10\)