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
Step 1: Write the formula for the volume of a sphere. The volume V of a sphere with radius r is given by: V = (4)/(3) r^3 Step 2: Substitute the given values into the formula. Given V = 5000 cm^3 and = 3.14. 5000 = (4)/(3)(3.14) r^3 Step 3: Isolate r^3. Multiply both sides by 3: 5000 × 3 = 4(3.14) r^3 15000 = 12.56 r^3 Divide both sides by 12.56: r^3 = (15000)/(12.56) Step 4: Calculate the value of r^3. r^3 ≈ 1194.2675 Step 5: Find r by taking the cube root. r = [3]1194.2675 r ≈ 10.6109 cm Step 6: Round the radius to one decimal place. r ≈ 10.6 cm The radius of the ball is 10.6 cm. Send me the next one 📸