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If the sum of the radius and the height of a closed cylinder is 35cm and the total surface area of the cylinder is 1540cm2 then the circumference of the base of the cylinder is:
- a)44 cm
- b)34 cm
- c)36 cm
- d)46cm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the sum of the radius and the height of a closed cylinder is 35cm a...
Given:
Total surface area of a cylinder = 2πr(r+h) = 1540cm2
The sum of the radius and height of the cylinder = r+h
= 35
It means, S = 2πr(r+h) = 1540cm2
Therefore,
Circumference of cylinder = 2πr = 1540/(r+h)
= 1540/35
= 44cm
Total surface area of a cylinder = 2πr(r+h) = 1540cm2
The sum of the radius and height of the cylinder = r+h
= 35
It means, S = 2πr(r+h) = 1540cm2
Therefore,
Circumference of cylinder = 2πr = 1540/(r+h)
= 1540/35
= 44cm
Most Upvoted Answer
If the sum of the radius and the height of a closed cylinder is 35cm a...
Given Information:
- Sum of radius and height of the cylinder = 35 cm
- Total surface area of the cylinder = 1540 cm²
Solution:
1. Determine the formula for the surface area of a cylinder:
The total surface area of a cylinder is given by the formula:
Total Surface Area = 2πr(r + h) + 2πr²
where r is the radius and h is the height of the cylinder.
2. Substitute the given information into the formula:
Given that the sum of the radius and the height of the cylinder is 35 cm, we can write:
r + h = 35
Given that the total surface area of the cylinder is 1540 cm², we can write:
2πr(r + h) + 2πr² = 1540
3. Solve the equations:
Substitute r + h = 35 into the surface area formula:
2πr(35) + 2πr² = 1540
70πr + 2πr² = 1540
2πr² + 70πr - 1540 = 0
πr² + 35πr - 770 = 0
Now, solve the quadratic equation to find the values of r. The solutions are r = 10 cm and r = -45 cm. Since the radius cannot be negative, we take r = 10 cm.
4. Calculate the circumference of the base:
The circumference of the base of the cylinder is given by the formula:
Circumference = 2πr
Substitute r = 10 cm:
Circumference = 2π(10) = 20π ≈ 44 cm
Therefore, the circumference of the base of the cylinder is approximately 44 cm, which corresponds to option 'A'.
- Sum of radius and height of the cylinder = 35 cm
- Total surface area of the cylinder = 1540 cm²
Solution:
1. Determine the formula for the surface area of a cylinder:
The total surface area of a cylinder is given by the formula:
Total Surface Area = 2πr(r + h) + 2πr²
where r is the radius and h is the height of the cylinder.
2. Substitute the given information into the formula:
Given that the sum of the radius and the height of the cylinder is 35 cm, we can write:
r + h = 35
Given that the total surface area of the cylinder is 1540 cm², we can write:
2πr(r + h) + 2πr² = 1540
3. Solve the equations:
Substitute r + h = 35 into the surface area formula:
2πr(35) + 2πr² = 1540
70πr + 2πr² = 1540
2πr² + 70πr - 1540 = 0
πr² + 35πr - 770 = 0
Now, solve the quadratic equation to find the values of r. The solutions are r = 10 cm and r = -45 cm. Since the radius cannot be negative, we take r = 10 cm.
4. Calculate the circumference of the base:
The circumference of the base of the cylinder is given by the formula:
Circumference = 2πr
Substitute r = 10 cm:
Circumference = 2π(10) = 20π ≈ 44 cm
Therefore, the circumference of the base of the cylinder is approximately 44 cm, which corresponds to option 'A'.
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If the sum of the radius and the height of a closed cylinder is 35cm and the total surface area of the cylinder is 1540cm2 then the circumference of the base of the cylinder is:a)44 cmb)34 cmc)36 cmd)46cmCorrect answer is option 'A'. Can you explain this answer?
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If the sum of the radius and the height of a closed cylinder is 35cm and the total surface area of the cylinder is 1540cm2 then the circumference of the base of the cylinder is:a)44 cmb)34 cmc)36 cmd)46cmCorrect answer is option 'A'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about If the sum of the radius and the height of a closed cylinder is 35cm and the total surface area of the cylinder is 1540cm2 then the circumference of the base of the cylinder is:a)44 cmb)34 cmc)36 cmd)46cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of the radius and the height of a closed cylinder is 35cm and the total surface area of the cylinder is 1540cm2 then the circumference of the base of the cylinder is:a)44 cmb)34 cmc)36 cmd)46cmCorrect answer is option 'A'. Can you explain this answer?.
If the sum of the radius and the height of a closed cylinder is 35cm and the total surface area of the cylinder is 1540cm2 then the circumference of the base of the cylinder is:a)44 cmb)34 cmc)36 cmd)46cmCorrect answer is option 'A'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about If the sum of the radius and the height of a closed cylinder is 35cm and the total surface area of the cylinder is 1540cm2 then the circumference of the base of the cylinder is:a)44 cmb)34 cmc)36 cmd)46cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of the radius and the height of a closed cylinder is 35cm and the total surface area of the cylinder is 1540cm2 then the circumference of the base of the cylinder is:a)44 cmb)34 cmc)36 cmd)46cmCorrect answer is option 'A'. Can you explain this answer?.
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If the sum of the radius and the height of a closed cylinder is 35cm and the total surface area of the cylinder is 1540cm2 then the circumference of the base of the cylinder is:a)44 cmb)34 cmc)36 cmd)46cmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for If the sum of the radius and the height of a closed cylinder is 35cm and the total surface area of the cylinder is 1540cm2 then the circumference of the base of the cylinder is:a)44 cmb)34 cmc)36 cmd)46cmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of If the sum of the radius and the height of a closed cylinder is 35cm and the total surface area of the cylinder is 1540cm2 then the circumference of the base of the cylinder is:a)44 cmb)34 cmc)36 cmd)46cmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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