- Start here! Find the total surface area. Radius = 7 cm, Height = 5 cm.
- Total Surface Area = 2πr(h + r) = 2π * 7 * (5 + 7) = 14π * 12 = 168π ≈ 528 cm²
- Path: 528 cm²
- Find the lateral surface area of a cylinder that has a diameter of 4 cm and a height of 3 cm.
- Radius = Diameter / 2 = 4 / 2 = 2 cm
- Lateral Surface Area = 2πrh = 2π * 2 * 3 = 12π ≈ 38 cm²
- Path: 38 cm²
- Find the total surface area. Radius = 2 cm, Height = 3 cm.
- Total Surface Area = 2πr(h + r) = 2π * 2 * (3 + 2) = 4π * 5 = 20π ≈ 63 cm²
- Path: 63 cm²
- Find the total surface area of a cylinder that has a radius of 12 cm and a height of 10 cm.
- Total Surface Area = 2πr(h + r) = 2π * 12 * (10 + 12) = 24π * 22 = 528π ≈ 1659 cm² (Not listed, so this path is incorrect)
- A container of sanitizing wipes is in the shape of a cylinder. It has a diameter of 19 cm and a height of 22 cm. What is the lateral surface area?
- Radius = 19 / 2 = 9.5 cm
- Lateral Surface Area = 2πrh = 2π * 9.5 * 22 = 418π ≈ 1313 cm²
- Path: 1313 cm²
- Find the lateral surface area of a cylinder that has a radius of 6 cm and a height of 6 cm.
- Lateral Surface Area = 2πrh = 2π * 6 * 6 = 72π ≈ 226 cm²
- Path: 226 cm²
- A can is in the shape of a cylinder and has a radius of 9 cm and a height of 11 cm. What is the total surface area?
- Total Surface Area = 2πr(h + r) = 2π * 9 * (11 + 9) = 18π * 20 = 360π ≈ 1131 cm² (Not listed, so this path is incorrect)
- Find the lateral surface area. Radius = 8 cm, Height = 17 cm.
- Lateral Surface Area = 2πrh = 2π * 8 * 17 = 272π ≈ 855 cm² (Not listed, so this path is incorrect)
- Find the lateral surface area. Radius = 15 cm, Height = 8 cm.
- Lateral Surface Area = 2πrh = 2π * 15 * 8 = 240π ≈ 754 cm² (Not listed, so this path is incorrect)
- Find the total surface area. Radius = 4 cm, Height = 12 cm.
- Total Surface Area = 2πr(h + r) = 2π * 4 * (12 + 4) = 8π * 16 = 128π ≈ 402 cm² (Not listed, so this path is incorrect)
- Find the lateral surface area. Radius = 5 cm, Height = 8 cm.
- Lateral Surface Area = 2πrh = 2π * 5 * 8 = 80π ≈ 251 cm² (Not listed, so this path is incorrect)
Correct Path:
Start → 528 cm² → 38 cm² → 63 cm² → 226 cm² → 1313 cm² → Finish
Parent Tip: Review the logic above to help your child master the concept of surface area cylinder worksheet.
