enosbhujel2076
enosbhujel2076 enosbhujel2076
  • 23-07-2021
  • Mathematics
contestada


The base area of a cylinder is 154cme and the
curved surface area is 880cm2, find its total surface area.​

Respuesta :

susuag23
susuag23 susuag23
  • 23-07-2021

Answer:

Since curved surface area of a cyclinder = 154 cm2 [given]

Total surface area of cyclinder = 3 × curved surface area

2πrh + 2πr2 = 3 × 154

154 + 2πr2 = 462

2πr2 = 462 - 154 = 308

r2 = 308 × 7 / 2 × 22 = 49

r = 7 cm

Now, 2πrh = 154

2 × 22 / 7 × 7 × h = 154

h = 154 / 44 = 3.5 cm

∴ Volume of cyclinder = πr2h

= 22 / 7 × 7 × 7 × 3.5 = 539 cm3

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