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: Calculate the radius (r) of the cylinder. The diameter (d) is 21 cm. The radius is half of the diameter: r = (d)/(2) r = (21)/(2) r = 10.5 cm Step 2: Calculate the surface area (A) of the cylinder. The formula for the surface area of a cylinder is A = 2 r^2 + 2 r h, where r is the radius and h is the height. Substitute the values r = 10.5 cm and h = 7 cm into the formula: A = 2 (10.5)^2 + 2 (10.5)(7) A = 2 (110.25) + 2 (73.5) A = 220.5 + 147 A = 367.5 cm^2 The surface area of the cylinder is 367.5 cm^2. That's 2 down. 3 left today — send the next one.