IDNLearn.com: Where your questions meet expert answers and community support. Our platform offers reliable and comprehensive answers to help you make informed decisions quickly and easily.
Answer:
The surface area of this cylinder is 3545[tex]\frac{1}{7}[/tex] cm²
Step-by-step explanation:
The formula of the surface area of the cylinder is
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 = [tex]\frac{22}{7}[/tex]
∴ The lateral area = 24 × [tex]\frac{22}{7}[/tex] × 35
∴ The lateral area = 2640 cm²
∵ The area of the circle = π r²
∴ The area of the base = [tex]\frac{22}{7}[/tex] × (12)² = [tex]\frac{22}{7}[/tex] (144) = 452[tex]\frac{4}{7}[/tex] cm²
→ By using the rule of the surface area above
∴ The surface area = 2640 + 2(452[tex]\frac{4}{7}[/tex]) = 3545[tex]\frac{1}{7}[/tex] cm²
∴ The surface area of this cylinder is 3545[tex]\frac{1}{7}[/tex] cm²