The volume of sphere is: 1149.76\ cm^3
Further explanation:
We have to find the radius of the sphere first to find the volume of sphere
Given
Surface Area of Sphere=530.93 cm^2
[tex]SA=4\pi r^2\\530.93=4*3.14*r^2\\530.93=12.568r^2\\r^2=\frac{530.93}{12.56}\\r^2=42.27\\Taking\ Square\ root\ on\ both\ sides\\\sqrt{r^2}=\sqrt{42.27}\\r=6.5\ cm\\Now,\\V=\frac{4}{3}\pi r^3\\V=\frac{4}{3}*3.14*(6.5)^3\\=\frac{4}{3}*3.14*274.625\\=1149.76\ cm^3[/tex]
The volume of sphere is: 1149.76\ cm^3
Keywords: Sphere, Volume of sphere
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