Question

a cone has a height of 17 yards and a diameter of 14 yards. what is its volume?
round your answer to the nearest hundredth.
cubic yards
submit
work it out
not feeling ready yet? these can help:
area of circles
lesson: volume of cones
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Explanation:

Step1: 求圆锥底面半径

已知直径\(d = 14\)码，根据半径\(r=\frac{d}{2}\)，可得\(r=\frac{14}{2}=7\)码。

Step2: 代入圆锥体积公式计算

圆锥体积公式\(V=\frac{1}{3}\pi r^{2}h\)，其中\(h = 17\)码，\(r = 7\)码，\(\pi\)取\(3.14\)。
则\(V=\frac{1}{3}\times3.14\times7^{2}\times17\)
\(=\frac{1}{3}\times3.14\times49\times17\)
\(=\frac{1}{3}\times3.14\times833\)
\(=\frac{2615.62}{3}\approx871.87\)（立方码）

Answer:

\(871.87\)