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The volume of a right circular cylinder is 1100 cm3 and the radius of its base is 5 cm. Calculate its curved surface area.

(A) 410 cm2 (B) 125 cm2 (C) 440 cm2

Sagot :

Answer:

  • (C) 440 cm²

Step-by-step explanation:

Volume:

  • V = πr²h

Given r = 5 cm and V = 110 cm³, find h:

  • 1100 = π(5²)h
  • 1100/25 = πh
  • 44 = πh

Curved surface area:

  • S = 2πrh = 2*5*πh = 10*44 = 440 cm²

Correct choice is C

Answer:

(A) 440 cm²

Step-by-step explanation:

Volume of a right circular cylinder  =  1100 cm²

πr2 h =  1100 cm³

Here r = 5

(22/7) ⋅ (5)2 ⋅ h  =  1100

h  = 2/7

Curved surface area of cylinder  =  2 πr h

 =  2 ⋅ (22/7) ⋅ 5 ⋅ (2/7)

=  440 cm²

So, the curved surface area of cylinder is  440 cm²