Answer:
The surface area of this cylinder is 3545 cm²
Step-by-step explanation:
The formula of the surface area of the cylinder is
- Surface area = later area + 2 base area, where
- Lateral area = perimeter of the base × height of the cylinder
Let us use the rules above to solve the question
∵ The base of the cylinder is a circle
∵ The perimeter of the circle = 2 π r
∵ The radius of the cylinder is 12 cm
∴ r = 12
∴ The perimeter of the base = 2 (12) (π)
∴ The perimeter of the base = 24π cm
∵ The height of the cylinder is 35 cm
∴ h = 35 cm
→ By using the rule of the lateral area above
∵ The lateral area = 24π × 35
∵ π =
∴ The lateral area = 24 × × 35
∴ The lateral area = 2640 cm²
∵ The area of the circle = π r²
∴ The area of the base = × (12)² =
(144) = 452
cm²
→ By using the rule of the surface area above
∴ The surface area = 2640 + 2(452) = 3545
cm²
∴ The surface area of this cylinder is 3545 cm²