Where the above cylinders are given,
1. Cylinder with Radius = 5 cm and Height = 12 cm:
- Lateral Area: 120π cm²
- Total Surface Area: 170π cm²
2. Cylinder with Radius = 4 ft and Height = 10 ft:
- Lateral Area: 80π ft²
- Total Surface Area: 112π ft²
3. Cylinder with Radius = 20 cm and Height = 70 cm:
- Lateral Area: 2800π cm²
- Total Surface Area: 3600π cm²
4. Cylinder with Radius = 9 cm and Height = 6.5 cm:
- Lateral Area: 117π cm²
- Total Surface Area: 279π cm²
Let's calculate the lateral area and total surface area for each cylinder.
The lateral area of the cylinder is derived using: LA = 2πrh; while the
Total surface area is given as 2πr(h + r). Applying these we have:
A) Cylinder with Radius = 5 cm and Height = 12 cm:
Lateral Area: LA = 2 * π * 5 * 12 = 120π cm²
Total Surface Area: TSA = 2 * π * 5 * (12 + 5) = 170π cm²
B) Cylinder with Radius = 4 ft and Height = 10 ft:
Lateral Area: LA = 2 * π * 4 * 10 = 80π ft²
Total Surface Area: TSA = 2 * π * 4 * (10 + 4) = 112π ft²
C) Cylinder with Radius = 20 cm and Height = 70 cm:
Lateral Area: LA = 2 * π * 20 * 70 = 2800π cm²
Total Surface Area: TSA = 2 * π * 20 * (70 + 20) = 3600π cm²
D) Cylinder with Radius = 9 cm and Height = 6.5 cm:
Lateral Area: LA = 2 * π * 9 * 6.5 = 117π cm²
Total Surface Area: TSA = 2 * π * 9 * (6.5 + 9) = 279π cm²