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:

V = (4/3) * π * r³

Given that the volume of the sphere is 344/56 cm³, we can write the equation as follows:

344/56 = (4/3) * π * r³

To find the radius, we can rearrange the equation:

r³ = (344/56) * (3/4) * (1/π)

r³ = 43 * (3/7) * (1/π)

r³ ≈ 18.23

Taking the cube root of both sides, we find:

r ≈ ∛18.23

Using a calculator, we can approximate the radius:

r ≈ 2.6 cm

Therefore, the radius of the sphere is approximately 2.6 cm.