Question

The volume of a sphere is 2,143.572,ft cubed. To the nearest foot​, what is the radius of the​ sphere? Use 3.14 for pi.

Answer 1

Volume of a sphere is defined:

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

Solve for radius.

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

Now put in the data.

$r=\frac{3\cdot2143.572}{4\cdot3.14} \\ \\r=\frac{6430.716}{12.56}\approx\boxed{30010}$

The radius of the sphere is 30010ft.

Hope this helps.

r3t40