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 right circular cylinder: Given: Diameter, d = 6 cm Altitude (height), h = 8 cm Step 1: Calculate the radius. The radius is half of the diameter. r = (d)/(2) = 6 cm2 = 3 cm Step 2: Calculate the Lateral Surface Area (LSA). The formula for the lateral surface area of a cylinder is LSA = 2 r h. LSA = 2 (3 cm)(8 cm) LSA = 48 cm^2 The lateral surface area is 48 cm^2. Step 3: Calculate the Total Surface Area (TSA). The formula for the total surface area of a cylinder is TSA = 2 r (h + r). TSA = 2 (3 cm)(8 cm + 3 cm) TSA = 6 cm(11 cm) TSA = 66 cm^2 The total surface area is 66 cm^2. Step 4: Calculate the Volume (V). The formula for the volume of a cylinder is V = r^2 h. V = (3 cm)^2 (8 cm) V = (9 cm^2)(8 cm) V = 72 cm^3 The volume is 72 cm^3. That's 2 down. 3 left today — send the next one.