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# What is the volume of a sphere with a surface area of 452.39cm^2? Round to the nearest hundredth.

The formula of the volume of a sphere is: $V=\frac{4}{3}\pi r^3$. The fomula of the surface area of a sphere is: $A=4\pi r^2$. So, if you know the surface area, you can find the radius of a sphere from secon formula: $r=\sqrt{\frac{A}{4\pi}}$ $r=\sqrt{\frac{452.39}{4\pi}}=6$ Now, you can find the volume of a sphere: $V=\frac{4}{3}\pi 6^3=\frac{4}{3}*216\pi=288\pi \approx 904.78 cm^3$