The formula for the volume of a sphere is Upper V equals four thirds pi r cubedV=
1 answer:
![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\quad \begin{cases} r=radius=\frac{diameter}{2}\\ d=diameter\\ ----------\\ d=10\\ r=5 \end{cases}\implies V=\cfrac{4\pi \cdot 5^3}{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20sphere%7D%5C%5C%5C%5C%0AV%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D%5Cquad%20%0A%5Cbegin%7Bcases%7D%0Ar%3Dradius%3D%5Cfrac%7Bdiameter%7D%7B2%7D%5C%5C%0Ad%3Ddiameter%5C%5C%0A----------%5C%5C%0Ad%3D10%5C%5C%0Ar%3D5%0A%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B4%5Cpi%20%5Ccdot%205%5E3%7D%7B3%7D)
now, that rounded to 2 decimals is just 523.60
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