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What is the curved surface area of a cylinder with a height of 12 cm and a radius of 3 cm?
  • a)
    113.04 cm²
  • b)
    226.08 cm²
  • c)
    150.72 cm²
  • d)
    75.36 cm²
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What is the curved surface area of a cylinder with a height of 12 cm a...
The curved surface area is calculated using the formula 2πrh. Substituting the values, Curved Surface Area = 2 × π × 3 cm × 12 cm = 226.08 cm².
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Community Answer
What is the curved surface area of a cylinder with a height of 12 cm a...
Understanding Curved Surface Area of a Cylinder
To calculate the curved surface area of a cylinder, we use the formula:
Curved Surface Area (CSA) = 2πrh
where r is the radius and h is the height.
Given Values
- Height (h) = 12 cm
- Radius (r) = 3 cm
- π (Pi) ≈ 3.14 (commonly used approximation)
Step-by-Step Calculation
1. Substituting the Values
- CSA = 2 * π * r * h
- CSA = 2 * 3.14 * 3 cm * 12 cm
2. Calculating the Area
- First, calculate the product of the radius and height:
3 cm * 12 cm = 36 cm²
- Then, multiply by 2 and π:
CSA = 2 * 3.14 * 36 cm²
CSA = 6.28 * 36 cm²
3. Final Multiplication
- 6.28 * 36 = 226.08 cm²
Final Answer
The curved surface area of the cylinder is 226.08 cm². Hence, the correct option is b) 226.08 cm².
Conclusion
In summary, the curved surface area of a cylinder can be calculated easily using the radius and height with the appropriate formula. This gives essential insights into the geometry of cylinders, which is a vital topic in mathematics for Class 8 students.
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Question Description
What is the curved surface area of a cylinder with a height of 12 cm and a radius of 3 cm?a) 113.04 cm²b) 226.08 cm²c) 150.72 cm²d) 75.36 cm²Correct answer is option 'B'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about What is the curved surface area of a cylinder with a height of 12 cm and a radius of 3 cm?a) 113.04 cm²b) 226.08 cm²c) 150.72 cm²d) 75.36 cm²Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the curved surface area of a cylinder with a height of 12 cm and a radius of 3 cm?a) 113.04 cm²b) 226.08 cm²c) 150.72 cm²d) 75.36 cm²Correct answer is option 'B'. Can you explain this answer?.
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