QUESTION IMAGE
Question
what is the volume of this sphere?
round your answer to the nearest hundredth.
cubic inches
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\(r = 19\)英寸,将其代入公式可得:
\(V=\frac{4}{3}\times\pi\times19^{3}\)
先计算\(19^{3}=19\times19\times19 = 6859\),则\(V=\frac{4}{3}\times\pi\times6859\)。
\(V=\frac{27436}{3}\pi\),取\(\pi\approx3.14159\),\(V=\frac{27436}{3}\times3.14159\)。
\(\frac{27436}{3}\times3.14159 = 9145.333\cdots\times3.14159\approx28716.36\)(立方英寸)
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\(28716.36\)