Find radius of ball that has a surface area of 7.84𝝅 square feet. (round to tenth and units) so your work

5 answers

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.
The answer would not be 1.4 because 1.96 is over 1.49 which means that the number would not be 1.4
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.
what does 1.96 go into
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.