Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
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
- 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 = [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
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.