Question

a cylinder has a height of 18 feet and a radius of 17 feet. what is its volume? round your answer to the nearest hundredth. cubic feet submit work it out not feeling ready yet? these can help: area of circles lesson: volume of cylinders company | blog | help center | user guides | tell us what you think | testimonials | contact us | terms of service | privacy policy practice in the app

Explanation:

Step1: 写出圆柱体积公式

圆柱体积公式为\(V = \pi r^{2}h\)，其中\(r\)是半径，\(h\)是高。

Step2: 代入数值计算

已知\(r = 17\)，\(h = 18\)，代入公式可得\(V=\pi\times17^{2}\times18\)。
先计算\(17^{2}=289\)，则\(V=\pi\times289\times18\)。
再计算\(289\times18 = 5202\)，所以\(V = 5202\pi\)。
取\(\pi\approx3.14159\)，则\(V\approx5202\times3.14159\)。
\(5202\times3.14159 = 5202\times(3 + 0.14159)=5202\times3+5202\times0.14159\)。
\(5202\times3 = 15606\)，\(5202\times0.14159\approx736.42\)（保留两位小数）。
\(V\approx15606 + 736.42=16342.42\)。

Answer:

\(16342.42\)