Cone cylinders and Spears unit test the surface area of a sphere is 7.84 pi ft to the power to what is the radius of the sphere

1 answer

To find the radius of a sphere when given the surface area, we can use the formula for the surface area of a sphere which is:

Surface Area = 4πr^2

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

7.84π = 4πr^2

Dividing both sides of the equation by 4π, we get:

r^2 = 7.84/4

Simplifying the right side gives:

r^2 = 1.96

Taking the square root of both sides gives:

r = √(1.96)

So the radius of the sphere is approximately 1.4 ft.
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