Question

a cone has a height of 15 yards and a radius of 9 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: 写出圆锥体积公式

圆锥体积公式为\(V=\frac{1}{3}\pi r^{2}h\)，其中\(r\)是底面半径，\(h\)是高。

Step2: 代入数值计算

已知\(r = 9\)，\(h = 15\)，代入公式可得\(V=\frac{1}{3}\times\pi\times9^{2}\times15\)。
先计算\(9^{2}=81\)，则\(V=\frac{1}{3}\times\pi\times81\times15\)。
\(\frac{1}{3}\times81 = 27\)，所以\(V=27\times15\times\pi\)。
\(27\times15 = 405\)，即\(V = 405\pi\)。
取\(\pi\approx3.14159\)，则\(V\approx405\times3.14159\)。
\(405\times3.14159 = 1272.34395\)。

Step3: 按要求保留小数

题目要求结果保留到百分位（小数点后两位），根据四舍五入原则，\(1272.34395\approx1272.34\)。

Answer:

\(1272.34\)