A solid cylinder has a total surface area of 231 sq.cm. If its curved surface area is 
of the total surface area, then the volume of the cylinder is
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 269.5 cu.cm
| Application |
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Given curved surface area = 2/3 Total surface area = 2πrh = 2/3{2πr(r + h)} h = 2/3(r + h) 3h = 2r2 + 2h h = 2r..............(i) 2πr(r + h) = 231 (given) 2πr(r + 2r) = 231 r = 7/2 Volume = πr2h = πr2(2r) (22/7) × (7/2) × (7/2) × (2 × 7/2) = 269.5. |