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

To find the radius of a sphere, we need to use the formula for the volume of a sphere:

V = (4/3) * π * r^3

Given that the volume of the sphere is 344/56 cm³, we can set up the equation:

344/56 = (4/3) * π * r^3

First, let's simplify the equation:

(344/56) * (3/4) = π * r^3

(3 * 344)/(4 * 56) = π * r^3

(3 * 86)/(4 * 14) = π * r^3

12.2143 = π * r^3

Now, we can solve for the radius (r). Divide both sides of the equation by π:

r^3 = 12.2143 / π

r^3 ≈ 3.8831

To find the radius, we need to take the cube root of both sides of the equation:

r ≈ ∛(3.8831)

r ≈ 1.5722

Therefore, the radius of the sphere is approximately 1.5722 cm.