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
Here are the calculations for the surface area of the cone. The dimensions of the cone are: • Radius (r) = 3 cm • Slant height (l) = 5 cm Step 1: Calculate the surface area of the cone. The formula for the total surface area of a cone is SA = r^2 + r l. SA = (3 cm)^2 + (3 cm) (5 cm) SA = (9 cm^2) + (15 cm^2) SA = 9 cm^2 + 15 cm^2 SA = 24 cm^2 Using ≈ 3.14159: SA ≈ 24 × 3.14159 cm^2 SA ≈ 75.39816 cm^2 Rounding to two decimal places: SA ≈ 75.40 cm^2 The surface area of the cone is 75.40 cm^2. 3 done, 2 left today. You're making progress.