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.