The surface area of a sphere is 7.84pi ft ^2 what is the radius of the sphere
Let's use the formula for the surface area of a sphere:
Surface Area = 4πr^2
We are given that the surface area of the sphere is 7.84π ft^2, so we can set up the equation:
7.84π ft^2 = 4πr^2
Now we can solve for the radius, r:
Divide both sides of the equation by 4π:
7.84π ft^2 / 4π = r^2
2 = r^2
Take the square root of both sides:
√2 = √(r^2)
Since a radius cannot be negative, the positive square root is taken:
√2 = r
Therefore, the radius of the sphere is √2 ft.