Question

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

Answer 1

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:
$V=\frac{4}{3}\pi 6^3=\frac{4}{3}*216\pi=288\pi \approx 904.78 cm^3$

Answer 2

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