Question

the volume of this cylinder is 56.52 cubic inches. what is the radius? round your answer to the nearest hundredth. r ≈ inches

Explanation:

Step1: 写出圆柱体积公式

圆柱体积公式为\(V = \pi r^{2}h\)，其中\(V\)是体积，\(r\)是半径，\(h\)是高。已知\(V = 56.52\)立方英寸，\(h = 2\)英寸，\(\pi\)取\(3.14\)。

Step2: 代入已知值求解\(r^{2}\)

将\(V = 56.52\)，\(h = 2\)，\(\pi = 3.14\)代入公式\(V = \pi r^{2}h\)，得到\(56.52=3.14\times r^{2}\times2\)。
先计算\(3.14\times2 = 6.28\)，则\(56.52 = 6.28r^{2}\)。
两边同时除以\(6.28\)，\(r^{2}=\frac{56.52}{6.28}=9\)。

Step3: 求解\(r\)

因为\(r^{2}=9\)，所以\(r=\sqrt{9}=3\)（这里不需要四舍五入，因为\(\sqrt{9}\)是整数）。

Answer:

\(3\)