Question
Find the radius of the ball that has a surface area of 7.84𝝅 square feet. (round to tenth and units) show work
Answers
GPT 3.5
The formula for the surface area of a sphere is given by:
Surface Area = 4𝜋r^2
First, let's rearrange the formula to solve for the radius (r):
Surface Area = 4𝜋r^2
r^2 = Surface Area / (4𝜋)
Next, substitute the given surface area of 7.84𝜋 square feet into the equation:
r^2 = 7.84𝜋 / (4𝜋)
Simplify the right side of the equation:
r^2 = 1.96
Take the square root of both sides to solve for the radius (r):
r = √(1.96)
r ≈ 1.4
Therefore, the radius of the ball is approximately 1.4 feet.
Surface Area = 4𝜋r^2
First, let's rearrange the formula to solve for the radius (r):
Surface Area = 4𝜋r^2
r^2 = Surface Area / (4𝜋)
Next, substitute the given surface area of 7.84𝜋 square feet into the equation:
r^2 = 7.84𝜋 / (4𝜋)
Simplify the right side of the equation:
r^2 = 1.96
Take the square root of both sides to solve for the radius (r):
r = √(1.96)
r ≈ 1.4
Therefore, the radius of the ball is approximately 1.4 feet.