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Circunference of circular base of cylinder having curved surface area =528cm and hight =12 cm?
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Circunference of circular base of cylinder having curved surface area ...
Understanding Curved Surface Area of Cylinder
The curved surface area (CSA) of a cylinder can be calculated using the formula:
CSA = 2 * π * r * h
Where:
- r = radius of the circular base
- h = height of the cylinder
Given:
- Curved Surface Area (CSA) = 528 cm²
- Height (h) = 12 cm
Step 1: Rearranging the Formula
To find the radius (r), rearrange the formula:
r = CSA / (2 * π * h)
Step 2: Plugging in the Values
Now substitute the known values into the equation:
- CSA = 528 cm²
- h = 12 cm
- π is approximately 3.14
Step 3: Calculating the Radius
Using the values:
r = 528 / (2 * 3.14 * 12)
Step 4: Simplifying the Calculation
1. Calculate the denominator:
- 2 * 3.14 * 12 = 75.36
2. Now compute the radius:
- r = 528 / 75.36 ≈ 7 cm
Step 5: Finding the Circumference
The circumference (C) of the circular base can be calculated using the formula:
C = 2 * π * r
Step 6: Substituting the Radius
Now, substitute the value of r:
C = 2 * 3.14 * 7
Step 7: Final Calculation
- C ≈ 43.96 cm
Conclusion
The circumference of the circular base of the cylinder is approximately 43.96 cm.
The curved surface area (CSA) of a cylinder can be calculated using the formula:
CSA = 2 * π * r * h
Where:
- r = radius of the circular base
- h = height of the cylinder
Given:
- Curved Surface Area (CSA) = 528 cm²
- Height (h) = 12 cm
Step 1: Rearranging the Formula
To find the radius (r), rearrange the formula:
r = CSA / (2 * π * h)
Step 2: Plugging in the Values
Now substitute the known values into the equation:
- CSA = 528 cm²
- h = 12 cm
- π is approximately 3.14
Step 3: Calculating the Radius
Using the values:
r = 528 / (2 * 3.14 * 12)
Step 4: Simplifying the Calculation
1. Calculate the denominator:
- 2 * 3.14 * 12 = 75.36
2. Now compute the radius:
- r = 528 / 75.36 ≈ 7 cm
Step 5: Finding the Circumference
The circumference (C) of the circular base can be calculated using the formula:
C = 2 * π * r
Step 6: Substituting the Radius
Now, substitute the value of r:
C = 2 * 3.14 * 7
Step 7: Final Calculation
- C ≈ 43.96 cm
Conclusion
The circumference of the circular base of the cylinder is approximately 43.96 cm.
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Circunference of circular base of cylinder having curved surface area =528cm and hight =12 cm?
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Circunference of circular base of cylinder having curved surface area =528cm and hight =12 cm? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Circunference of circular base of cylinder having curved surface area =528cm and hight =12 cm? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Circunference of circular base of cylinder having curved surface area =528cm and hight =12 cm?.
Circunference of circular base of cylinder having curved surface area =528cm and hight =12 cm? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Circunference of circular base of cylinder having curved surface area =528cm and hight =12 cm? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Circunference of circular base of cylinder having curved surface area =528cm and hight =12 cm?.
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