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

To find the radius of a sphere, you need to use the formula for the volume of a sphere, which is: V = (4/3) * π * r^3 Given that the volume of the sphere is 344/56 cm³, we can set up the equation as follows: 344/56 = (4/3) * π * r^3 To find the radius, we need to isolate it. First, let's simplify the equation: 344/56 = (4/3) * π * r^3 344/56 = (4/3) * 3.14159 * r^3 Now, let's solve for r^3: r^3 = (344/56) / ((4/3) * 3.14159) r^3 = (344/56) / (4/3) * (1/3.14159) r^3 = (344/56) * (3/4) * (3.14159/1) r^3 = (344 * 3 * 3.14159) / (56 * 4) r^3 = (3064.60352) / (224) r^3 ≈ 13.67 Now, let's find the cube root of both sides to find r: r ≈ ∛13.67 r ≈ 2.35 cm (rounded to two decimal places) Therefore, the radius of the sphere is approximately 2.35 cm.