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
Hey Placide, good to see you again. Here's the solution for question 11: Given: Radius r = 7 cm Height h = 10 cm Use = (22)/(7) Step 1: Find the area of the two circular faces. The area of one circular face is given by the formula A_circle = r^2. The area of two circular faces is 2 × r^2. A_two\_circles = 2 × (22)/(7) × (7 cm)^2 A_two\_circles = 2 × (22)/(7) × 49 cm^2 A_two\_circles = 2 × 22 × 7 cm^2 A_two\_circles = 308 cm^2 The area of the two circular faces is 308 cm^2. Step 2: Find the area of the curved surface. The area of the curved surface of a cylinder is given by the formula A_curved = 2 r h. A_curved = 2 × (22)/(7) × 7 cm × 10 cm A_curved = 2 × 22 × 10 cm^2 A_curved = 440 cm^2 The area of the curved surface is 440 cm^2. Step 3: Find the total surface area of the can. The total surface area is the sum of the area of the two circular faces and the area of the curved surface. A_total = A_two\_circles + A_curved A_total = 308 cm^2 + 440 cm^2 A_total = 748 cm^2 The total surface area of the can is 748 cm^2. Send me the next one 📸