Question
Find radius of ball that has a surface area of 7.84𝝅 square feet. (round to tenth and units) so your work
Answers
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.
no name
The answer would not be 1.4 because 1.96 is over 1.49 which means that the number would not be 1.4
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.
no name
what does 1.96 go into
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.