Final answer:
The radius of the sphere is 15 inches.
Step-by-step explanation:
To find the radius of the sphere, we need to rearrange the formula for the surface area of a sphere:
A = 4πr²
Substituting the given value for the surface area, we have:
900π = 4πr²
Dividing both sides of the equation by 4π, we can solve for r:
r² = 225
Taking the square root of both sides, we get:
r = 15 inches
Therefore, the radius of the sphere is 15 inches.