I Need Desperate Help! The formula for the volume V of a sphere is 4/3(pi)r^3 . What is the radius of the basketball with a volume of 392 inches^3

Question

asked Jun 12, 2020 215k views

1 Answer

Toivo Henningsson · Answer 1 · 2020-06-16T23:32:30+0000

Let's solve the volume equation for the radius: start with

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

Multiply both sides by 3:

$3V = 4\pi r^3$

Divide both sides by 4:

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

Divide both sides by pi:

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

Take the cube root of both sides:

$r = \sqrt[3]{(3V)/(4\pi)}$

Now, plug the value for V and you have the radius:

$r = \sqrt[3]{(3\cdot 392)/(4\pi)} \approx 4.54$