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.

Question

asked Jan 21, 2020 123k views

1 Answer

Manmeet · Answer 1 · 2020-01-28T05:34:39+0000

Volume of a sphere is defined:

$V=(4\pi r)/(3)$

Solve for radius.

$3V=4\pi r\Longrightarrow r=(3V)/(4\pi)$

Now put in the data.

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

The radius of the sphere is 30010ft.

Hope this helps.

r3t40