Question

the curved surface area of a cylinder is 1760 cm2 and its volume is 12320 cm3 . find its height.

Answer 1

$<b><marquee direction = "up"><font color = "red">Heya mate. (^_-). Solution below.$
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★ Given, Curved surface area (C.S.A) of a cylinder = 1760 cm²

★ Given, volume (v) of a cylinder = 12320 cm².



♠ But, C.S.A of any cylinder = 2πrh, where π = 22/7, r is the radius, h is the height.

→→→ 2πrh = 1760

=> 2 × 22/7 × r × h = 1760

=> rh = 1760 × 7/2 × 22

=> rh = 1760 ×7/44

=> rh = 40 × 7

=> rh = 280... [equation i]



♠ Volume of any cylinder = πr²h

→→→ πr²h = 12320

=> 22/7 × r × r ×h = 12320

=> 22/7 × (rh) × r = 12320

=> 22/7 × 280 × r = 12320... [from equation i]

=> r = 12320 × 7/280 × 22

=> r = 86240/6160

=> r = 14


•°• radius = r = 14 cm



♠ Substituting the value of r in equation i,

=> rh = 280

=> (14)h = 280

=> h = 280/14

=> h = 20


•°• Height of the cylinder = h = 20 cm.
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Thank you..

Answer 2

Answer:

volume of the cyclinder=πr2

22/7×r2× h =12320