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.
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.