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Let the radius of the cylinder be r.
Given: height is 4r
Total surface area of cylinder: 2πrh+2πr
2
=2πr(4r)+2πr
2
=8πr
2
+2πr
2
=10πr
2
Given: 10πr
2
=1540
⟹r
2
=
π
154
Using π≈
7
22
r
2
=
22/7
154
=
22
154×7
=49
⟹r=7cm
Therefore, height = 4×7cm=
28cm
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