QUESTION IMAGE
Question
what is the volume of this sphere?
round your answer to the nearest hundredth.
9 mm
cubic millimeters
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\(r = 9\)毫米,将其代入公式可得:
\(V=\frac{4}{3}\times\pi\times9^{3}\)
\(=\frac{4}{3}\times\pi\times729\)
\(=4\times\pi\times243\)
\(=972\pi\)
Step3: 计算并四舍五入
取\(\pi\approx3.14159\),则\(V = 972\times3.14159\approx3053.63\)(立方毫米)(结果保留到百分位)
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\(3053.63\)