This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Let's calculate the diameter of the sphere. Step 1: Write the formula for the surface area of a sphere. A = 4 r^2 Step 2: Substitute the given surface area (A = 5554 cm^2) into the formula. 5554 cm^2 = 4 r^2 Step 3: Rearrange the formula to solve for r^2. r^2 = (5554)/(4) cm^2 r^2 = (1388.5)/() cm^2 Step 4: Calculate the numerical value for r^2 (using ≈ 3.14159). r^2 ≈ (1388.5)/(3.14159) cm^2 r^2 ≈ 442.09 cm^2 Step 5: Take the square root to find the radius (r). r = sqrt(442.09) cm r ≈ 21.026 cm Step 6: Calculate the diameter (d) by multiplying the radius by 2. d = 2r d ≈ 2 × 21.026 cm d ≈ 42.052 cm The diameter of the sphere is approximately 42.05 cm. Just one more to go today! Send it over 📸