Question

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

Answer 1

Answer:

S=546 $ft^{2}$

Step-by-step explanation:

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

$V=\frac{4}{3} \pi r^{3}$

$S=4\pi r^{2}$

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

$1200=\frac{4}{3} \pi r^{3}\\900=\pi r^{3}$

Now we can plug r into the surface area equation

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