The surface area of a sphere is 7.84π ft.2 What is the radius of this sphere?(
The surface area of a sphere is given by the formula A = 4πr², where A is the surface area and r is the radius of the sphere.
In this case, we are given that the surface area is 7.84π ft².
Plugging this value into the formula, we have:
7.84π = 4πr²
Dividing both sides of the equation by 4π, we get:
r² = 7.84/4
Simplifying the right side of the equation:
r² = 1.96
Taking the square root of both sides of the equation:
r = √1.96
Calculating the square root, we find:
r ≈ 1.4
Therefore, the radius of the sphere is approximately 1.4 feet.