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

To find the radius of a sphere, we can use the formula:

V = (4/3)πr³

where V is the volume of the sphere and r is the radius.

Given that the volume of the sphere is 344/56 cm³:

344/56 = (4/3)πr³

To find the radius, we need to rearrange the formula to solve for r:

r³ = (3/4) * (344/56π) r³ = (3 * 344 * π)/(4 * 56) r³ = 258π/14 r³ = 18.4286

Now, we can find the cube root of both sides to get the value of r:

r = ∛(18.4286) r ≈ 2.736

Therefore, the radius of the sphere is approximately 2.736 cm.