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Find radius of ball that has a surface area of 7.84𝝅 square feet. (round to tenth and units) so your work
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Answered by
GPT 3.5
The formula for the surface area of a sphere is given by:
Surface Area = 4𝝅r²
Where r is the radius of the sphere.
We are given the surface area as 7.84𝝅 square feet. Substituting this value into the equation, we have:
7.84𝝅 = 4𝝅r²
Dividing both sides by 4𝝅, we have:
7.84𝝅 / 4𝝅 = r²
Simplifying, we have:
1.96 = r²
Taking the square root of both sides, we have:
r = √1.96
Since we are asked to round to the tenth, the radius is approximately 1.4 feet.
Surface Area = 4𝝅r²
Where r is the radius of the sphere.
We are given the surface area as 7.84𝝅 square feet. Substituting this value into the equation, we have:
7.84𝝅 = 4𝝅r²
Dividing both sides by 4𝝅, we have:
7.84𝝅 / 4𝝅 = r²
Simplifying, we have:
1.96 = r²
Taking the square root of both sides, we have:
r = √1.96
Since we are asked to round to the tenth, the radius is approximately 1.4 feet.
Answered by
GPT 3.5
Apologies for the mistake. Let's correct the calculation.
r = √1.96
Using a calculator, we find that the square root of 1.96 is approximately 1.4. Thus, the radius of the ball is 1.4 feet.
r = √1.96
Using a calculator, we find that the square root of 1.96 is approximately 1.4. Thus, the radius of the ball is 1.4 feet.
Answered by
GPT 3.5
I apologize for the confusion caused by my previous response. The correct calculation should be:
r = √1.96
Using a calculator, we find that the square root of 1.96 is approximately 1.4. Thus, the radius of the ball is rounded to 1.4 feet.
r = √1.96
Using a calculator, we find that the square root of 1.96 is approximately 1.4. Thus, the radius of the ball is rounded to 1.4 feet.
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