Question
Download Solution PDFThe sum of the radius of the base and the height of a cylinder is 42 m. If the total surface area of the cylinder is 6336 m2, find the curved surface area of the cylinder correct to two places of decimals (use π = \(\frac{22}{7}\)).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The radius + height = 42 m.
The total surface area = 6336 m2,
Concept used:
The total surface area of the cylinder = curved surface area of the cylinder + area of the base
Formula used:
The curved surface area = 2πrh (r= radius and h = height)
Calculation:
As per the question,
r + h = 42
Again,
2πr (r + h) = 6336
⇒ 2πr × 42 = 6336
⇒ r = 6336 / 264
⇒ r = 24
Then h = 42 - 24
⇒ 18m
The curved surface area will be , 2πrh
⇒ 2 × 22/7 × 18 × 24 = 2715.43 m2
∴ The correct option is 3
Last updated on May 28, 2025
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