Answer:
r ≈ 7
Explanation:
The surface area of a solid sphere is given by the formula:
A = 4πr^2where A is the surface area and r is the radius of the sphere.
We are given that the surface area of the sphere is 616 cm^2. Substituting this value in the above formula, we get:
616 = 4πr^2
Dividing both sides by 4π, we get:
r^2 = 616 / 4πr^2 ≈ 49.087
Taking the square root of both sides, we get:
r ≈ 7
Therefore, the radius of the sphere is approximately 7 cm.