QUESTION IMAGE
Question
what is the volume of this sphere?
round your answer to the nearest hundredth.
2.3 m
cubic meters
Step1: 写出球体体积公式
球体体积公式为\(V = \frac{4}{3}\pi r^{3}\),其中\(r\)为半径。
Step2: 代入半径值计算
已知半径\(r = 2.3m\),将其代入公式可得:
\(V=\frac{4}{3}\times\pi\times(2.3)^{3}\)
先计算\((2.3)^{3}=2.3\times2.3\times2.3 = 12.167\),
则\(V=\frac{4}{3}\times\pi\times12.167\)
\(V=\frac{48.668}{3}\times\pi\)
取\(\pi\approx3.14\),\(V\approx\frac{48.668\times3.14}{3}\)
\(48.668\times3.14 = 152.81752\),
\(V\approx\frac{152.81752}{3}\approx50.94\)(立方米)
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\(50.94\)