7. A sphere has a volume of 361 in. Find the

radius of the sphere.

r = 4.417

Step-by-step explanation:

in order to calculate the radius of a sphere

given that

volume of sphere = 361

π = 3.14

radius = ?

recall that the volume of a sphere = 4/3 πr³

361 = 4 / 3 * 3.14 * r³

361 = 12.56r³/3

cross multiply

361 * 3 = 12.56r³

1083 = 12.56r³

divide both sides by 12.56

1083/12.56 = 12.56r³/12.56

86.226 = r³

find the cubic root of both sides

r = ∛86.226

r = 4.417

therefore the radius of the sphere is evaluated to be 4.417