Find the radius of a sphere whose volume = 43π m^3.

and show the steps pls

1 answer

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.

Given that V = 43π m^3, we can plug in this value into the formula:

43π = (4/3)πr^3

Now, we can solve for the radius r:

43π = (4/3)πr^3
43 = (4/3)r^3
129 = 4r^3
r^3 = 129/4
r^3 = 32.25
r = ∛32.25
r ≈ 3.18

Therefore, the radius of the sphere is approximately 3.18 meters.