Mathematics
ConnerW765
6

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

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(2) Answers
jessicawilloug

The answer is 904.78cm³ Hope I helped, please rate brainliest.

mcguirem141

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

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