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luda_lava [24]
3 years ago
8

The base area of a cylinder is 154cme and the

Mathematics
1 answer:
Papessa [141]3 years ago
3 0

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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