Find radius of ball that has a surface area of 7.84𝝅 square feet. (round to tenth and units)
The surface area (A) of a sphere with radius (r) is given by the formula A = 4𝜋r².
Let's solve this formula for the radius:
A = 4𝜋r²
7.84𝝅 = 4𝜋r²
Divide both sides by 4𝜋:
7.84𝝅 / 4𝜋 = r²
Divide both sides by 𝜋:
7.84 / 4 = r²
1.96 = r²
To solve for r, take the square root of both sides:
r = √1.96
Rounding to the nearest tenth:
r ≈ 1.4
Therefore, the radius of the ball is approximately 1.4 feet.