Question

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

Answer 1

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

Given that the volume is 43π m^3, we can set up the equation:

43π = (4/3)πr^3

Now we can solve for the radius:

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

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