If the volume of the sphere is 344/56cm³ find the radius

To find the radius of a sphere, we can use the formula for the volume of a sphere, which is given by:

V = (4/3)πr³

Given that V = 344/56 cm³, we can substitute this value into the formula:

344/56 = (4/3)πr³

To solve for r, we'll divide both sides of the equation by (4/3)π:

(344/56) / ((4/3)π) = r³

To simplify, we'll first divide 344 by 56:

6.1429 = r³

Now, to find r, we'll take the cube root of both sides of the equation:

r = ∛6.1429

Using a calculator or approximation, we find:

r ≈ 1.86 cm

So, the approximate radius of the sphere is 1.86 cm.