area of a cover part of a cylinder is 880cm and it's diameter is 14 cm find the height of cylinder.
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Answer - D = 2cm
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Given :-
- C.S.A of Cylinder = 880cm²
- Diameter of Cylinder = 14cm
To Find :-
- Height of Cylinder
Solution :-
❏ As we know that, Curved Surface Area of Cylinder is given by 2πrh or πdh.
Putting the Values :
➞ C.S.A of Cylinder = πdh
➞ 880 = 22/7 × 14 × Height
➞ 880 = 22 × 2 × Height
➞ 880 = 44 × Height
➞ 880 / 44 = Height
➞ 20cm = Height
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Verification :
⟾ C.S.A of Cylinder = πdh
⟾ C.S.A of Cylinder = 22/7 × 14 × 20
⟾ C.S.A of Cylinder = 22 × 2 × 20
⟾ C.S.A of Cylinder = 44 × 20
⟾ 880 = 880
Hence Verified
Thus Height of Cylinder is 20cm
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