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: Identify the given values. The slant height is l = 6.3 m. The diameter of the base is d = 7.2 m. Step 2: Calculate the radius of the base. The radius is half of the diameter: r = (d)/(2) = 7.2 m2 = 3.6 m Step 3: 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 4: Substitute the given values into the formula. Substitute r = 3.6 m and l = 6.3 m into the formula: TSA = (3.6 m) (3.6 m + 6.3 m) Step 5: Calculate the total surface area. TSA = (3.6 m) (9.9 m) TSA = 35.64 m^2 If we use ≈ 3.14159: TSA ≈ 35.64 × 3.14159 m^2 TSA ≈ 111.97 m^2 The total surface area of the cone is 35.64 m^2 or approximately 111.97 m^2. That's 2 down. 3 left today — send the next one.