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The lateral surface area of a cylinder is 11440 cm3. If its height is 65 cm then what is its circumference?
- a)174 cm
- b)176 cm
- c)184 cm
- d)186 cm
Correct answer is option 'B'. Can you explain this answer?
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The lateral surface area of a cylinder is 11440 cm3. If its height is ...
Lateral surface area = 11440.
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The lateral surface area of a cylinder is 11440 cm3. If its height is ...
To find the circumference of the cylinder, we first need to calculate the radius of the base.
Given:
Lateral surface area of the cylinder = 11440 cm²
Height of the cylinder = 65 cm
Lateral Surface Area of a Cylinder:
The lateral surface area of a cylinder is the sum of the areas of the two bases (circles) and the rectangle that wraps around the sides of the cylinder.
Formula for Lateral Surface Area of a Cylinder:
Lateral Surface Area = 2πrh
where r is the radius of the base and h is the height of the cylinder.
Step 1: Calculating the Radius
We can rearrange the formula for lateral surface area to find the radius:
Lateral Surface Area = 2πrh
11440 = 2πr(65)
Divide both sides by 2π(65):
r = 11440 / (2π(65))
r ≈ 87.68 cm
Step 2: Finding the Circumference
The circumference of a circle is given by the formula:
Circumference = 2πr
Substituting the value of the radius we found in step 1:
Circumference = 2π(87.68)
Circumference ≈ 174 cm
Therefore, the circumference of the cylinder is approximately 174 cm. Hence, option B is correct.
Given:
Lateral surface area of the cylinder = 11440 cm²
Height of the cylinder = 65 cm
Lateral Surface Area of a Cylinder:
The lateral surface area of a cylinder is the sum of the areas of the two bases (circles) and the rectangle that wraps around the sides of the cylinder.
Formula for Lateral Surface Area of a Cylinder:
Lateral Surface Area = 2πrh
where r is the radius of the base and h is the height of the cylinder.
Step 1: Calculating the Radius
We can rearrange the formula for lateral surface area to find the radius:
Lateral Surface Area = 2πrh
11440 = 2πr(65)
Divide both sides by 2π(65):
r = 11440 / (2π(65))
r ≈ 87.68 cm
Step 2: Finding the Circumference
The circumference of a circle is given by the formula:
Circumference = 2πr
Substituting the value of the radius we found in step 1:
Circumference = 2π(87.68)
Circumference ≈ 174 cm
Therefore, the circumference of the cylinder is approximately 174 cm. Hence, option B is correct.
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The lateral surface area of a cylinder is 11440 cm3. If its height is 65 cm then what is its circumference?a)174 cmb)176 cmc)184 cmd)186 cmCorrect 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 The lateral surface area of a cylinder is 11440 cm3. If its height is 65 cm then what is its circumference?a)174 cmb)176 cmc)184 cmd)186 cmCorrect 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 The lateral surface area of a cylinder is 11440 cm3. If its height is 65 cm then what is its circumference?a)174 cmb)176 cmc)184 cmd)186 cmCorrect answer is option 'B'. Can you explain this answer?.
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