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
Welcome back — been a while! Let's pick up where you left off. Step 1: Identify the given values. The radius of the base is r = 5 cm. The slant height is l = 12 cm. Step 2: Write down the formula for the total surface area of a cone. The total surface area (TSA) of a cone is given by the formula: TSA = r (r+l) Step 3: Substitute the given values into the formula. Substitute r = 5 cm and l = 12 cm into the formula: TSA = (5 cm) (5 cm + 12 cm) Step 4: Calculate the total surface area. TSA = (5 cm) (17 cm) TSA = 85 cm^2 If we use ≈ 3.14159: TSA ≈ 85 × 3.14159 cm^2 TSA ≈ 267.03515 cm^2 The total surface area of the cone is 85 cm^2 or approximately 267.04 cm^2. Send me the next one 📸