Question

Volume= 1200ft^3 gives you the sphere volume but need to find the surface area to the nearest whole number

Answer 1

S=546
`ft^(2)`

Explanation:

The equation for the volume of a sphere and the surface area of a sphere are as follows

`V=(4)/(3) \pi r^(3)`

`S=4\pi r^(2)`

As we know that V=1200 we can use the volume equation to solve for r

`1200=(4)/(3) \pi r^(3)\\900=\pi r^(3) \\`

Now we can plug r into the surface area equation

`S=4\pi (\sqrt[3]{(900)/(\pi ) })^(2) \\\\S=546.09\\S=546 ft^2` }