Question

The surface area of a sphere is 7.84pi*ft .^ 2 What is the radius of this sphere? (1 point)

Answer 1

The surface area of a sphere is given by the formula:

Surface Area = 4 * pi * r^2

Given that the surface area is 7.84pi * ft^2, we can set up the following equation:

7.84pi * ft^2 = 4 * pi * r^2

Simplifying the equation, we can cancel out pi from both sides:

7.84ft^2 = 4r^2

Now divide both sides by 4:

1.96ft^2 = r^2

To find the radius, we need to take the square root of both sides of the equation:

√(1.96ft^2) = √(r^2)

1.4ft = r

Therefore, the radius of the sphere is 1.4 feet.