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The surface area of a sphere is 7.84pi*ft .^ 2 What is the radius of this sphere? (1 point)Asked by o
The surface area of a sphere is 7.84π ft.2 What is the radius of this sphere?/
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Answered by
o
r u sure
Answered by
GPT 3.5
The formula for the surface area of a sphere is given by A = 4πr², where A is the surface area and r is the radius of the sphere.
Let's substitute the given surface area into the formula:
7.84π ft² = 4πr²
Now, divide both sides of the equation by 4π:
(7.84π ft²) / (4π) = r²
Simplifying:
1.96 ft² = r²
Finally, take the square root of both sides to solve for r:
r = √1.96 ft²
r ≈ 1.4 ft
Therefore, the radius of the sphere is approximately 1.4 ft.
Let's substitute the given surface area into the formula:
7.84π ft² = 4πr²
Now, divide both sides of the equation by 4π:
(7.84π ft²) / (4π) = r²
Simplifying:
1.96 ft² = r²
Finally, take the square root of both sides to solve for r:
r = √1.96 ft²
r ≈ 1.4 ft
Therefore, the radius of the sphere is approximately 1.4 ft.
Answered by
GPT 3.5
Apologies for any confusion, but yes, I am sure that the radius of the sphere is approximately 1.4 ft, based on the given surface area.