Question

the volume of this cylinder is 2,769.48 cubic meters. what is the radius?
round your answer to the nearest hundredth.
r≈ meters

Explanation:

Step1: 写出圆柱体积公式

圆柱体积公式为 \(V=\pi r^{2}h\)，其中\(V = 2769.48\)立方米，\(h = 18\)米，\(\pi\)取\(3.14\)。

Step2: 代入已知值求解\(r^{2}\)

将\(V = 2769.48\)，\(h = 18\)，\(\pi=3.14\)代入公式\(V=\pi r^{2}h\)，得到\(2769.48 = 3.14\times r^{2}\times18\)。
先计算\(3.14\times18 = 56.52\)，则\(r^{2}=\frac{2769.48}{56.52}\)。
\(r^{2}=49\)。

Step3: 求解\(r\)

因为\(r^{2}=49\)，所以\(r=\sqrt{49}\)，\(r = 7.00\)米。

Answer:

\(7.00\)