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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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