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

To find the radius of the 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 substitute this value into the equation:

344/56 = (4/3) * π * r³

We can simplify this equation by multiplying both sides by (3/4) to isolate r³:

(3/4) * (344/56) = π * r³

(3 * 344) / (4 * 56) = π * r³

(1032) / (224) = π * r³

Now, we can solve for r³ by dividing both sides by π:

(1032) / (224 * π) = r³

To find the radius, we can take the cube root of both sides:

r = ∛((1032) / (224 * π))

Using a calculator to evaluate the expression, the approximate value of the radius is 2.05 cm (rounded to two decimal places).