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
Okay, Anthony. This time we have a cylinder. From the image, we can see: • Height (h) = 10 cm • Radius (r) = 4 cm Step 1: Calculate the volume of the cylinder. The formula for the volume of a cylinder is V = r^2 h. V = (4 cm)^2 (10 cm) V = (16 cm^2) (10 cm) V = 160 cm^3 V ≈ 160 × 3.14159 cm^3 V ≈ 502.65 cm^3 The volume is 160 cm^3 ≈ 502.65 cm^3. Step 2: Calculate the surface area of the cylinder. The formula for the total surface area of a cylinder is A = 2 r h + 2 r^2. A = 2 (4 cm)(10 cm) + 2 (4 cm)^2 A = 2 (40 cm^2) + 2 (16 cm^2) A = 80 cm^2 + 32 cm^2 A = 112 cm^2 A ≈ 112 × 3.14159 cm^2 A ≈ 351.86 cm^2 The surface area is 112 cm^2 ≈ 351.86 cm^2. 3 done, 2 left today. You're making progress.