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The curved surface area of a cylindrical pillar is 368 m2 and its volume 1104 m3. Find the height of the cylinder?
- a)9.76 m
- b)10.25 m
- c)9.42 m
- d)8.42 m
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The curved surface area of a cylindrical pillar is 368 m2 and its volu...
From the given data
⇒ volume of cylindrical pillar/curved surface area = πr2h/2πrh = 1104/368
⇒ r = (1104 × 2/368) = 6 m
Given that curved surface area = 2πrh = 368
⇒ h = 368/(2π × 6) = 9.76 m
∴ height of the cylinder = 9.76 m
⇒ volume of cylindrical pillar/curved surface area = πr2h/2πrh = 1104/368
⇒ r = (1104 × 2/368) = 6 m
Given that curved surface area = 2πrh = 368
⇒ h = 368/(2π × 6) = 9.76 m
∴ height of the cylinder = 9.76 m
Most Upvoted Answer
The curved surface area of a cylindrical pillar is 368 m2 and its volu...
Given:
Curved surface area of cylindrical pillar = 368 m²
Volume of cylindrical pillar = 1104 m³
To find: Height of the cylinder
Formulae:
Curved surface area of cylinder = 2πrh
Volume of cylinder = πr²h
Solution:
Let the radius of the cylinder be ‘r’ and its height be ‘h’.
Given, curved surface area of cylindrical pillar = 368 m²
=> 2πrh = 368
=> rh = 184/π …(i)
Also, volume of cylindrical pillar = 1104 m³
=> πr²h = 1104
=> r²h = 1104/π …(ii)
Dividing equation (ii) by equation (i), we get:
r²h/rh = (1104/π)/(184/π)
=> r = 6 m
Substituting the value of r in equation (i), we get:
6h = 184/π
=> h = 9.76 m
Therefore, the height of the cylinder is 9.76 m.
Hence, option (a) is the correct answer.
Curved surface area of cylindrical pillar = 368 m²
Volume of cylindrical pillar = 1104 m³
To find: Height of the cylinder
Formulae:
Curved surface area of cylinder = 2πrh
Volume of cylinder = πr²h
Solution:
Let the radius of the cylinder be ‘r’ and its height be ‘h’.
Given, curved surface area of cylindrical pillar = 368 m²
=> 2πrh = 368
=> rh = 184/π …(i)
Also, volume of cylindrical pillar = 1104 m³
=> πr²h = 1104
=> r²h = 1104/π …(ii)
Dividing equation (ii) by equation (i), we get:
r²h/rh = (1104/π)/(184/π)
=> r = 6 m
Substituting the value of r in equation (i), we get:
6h = 184/π
=> h = 9.76 m
Therefore, the height of the cylinder is 9.76 m.
Hence, option (a) is the correct answer.
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The curved surface area of a cylindrical pillar is 368 m2 and its volume 1104 m3. Find the height of the cylinder?a)9.76 mb)10.25 mc)9.42 md)8.42 mCorrect answer is option 'A'. Can you explain this answer?
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The curved surface area of a cylindrical pillar is 368 m2 and its volume 1104 m3. Find the height of the cylinder?a)9.76 mb)10.25 mc)9.42 md)8.42 mCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The curved surface area of a cylindrical pillar is 368 m2 and its volume 1104 m3. Find the height of the cylinder?a)9.76 mb)10.25 mc)9.42 md)8.42 mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The curved surface area of a cylindrical pillar is 368 m2 and its volume 1104 m3. Find the height of the cylinder?a)9.76 mb)10.25 mc)9.42 md)8.42 mCorrect answer is option 'A'. Can you explain this answer?.
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