Question

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

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Answer 1

[AI-generated answer — Bot GPT 3.5]

The surface area of a sphere is given by the formula $4\pi r^2$, where $r$ is the radius of the sphere. Given that the surface area of the sphere is $7.84\pi \, \text{ft}^2$, we can set up the equation $4\pi r^2 = 7.84\pi$.

Dividing both sides of the equation by $4\pi$, we have $r^2 = 1.96$.

Taking the square root of both sides, we find that $r = \sqrt{1.96}$.

Therefore, the radius of the sphere is $\sqrt{1.96}$ feet.