Question

The curved surfaced area of a right circular cylinder of height 28 cm is 880 cm² . Find the radius of the base of the cylinder​

Answer 1

Answer:

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Answer 2

Given :-

• Shape = Cylinder
• Curved Surface Area = 880cm²
• Height of Cylinder = 28cm

To Find :-

• Radius of the Cylinder

Solution :-

⟼ ⠀⠀C.S.A of Cylinder = 2πrh

⟼ ⠀⠀880 = 2 × 22/7 × Radius × 28

⟼ ⠀⠀880 = 2 × 22 × Radius × 4

⟼ ⠀⠀880 ÷ 2 = 22 × Radius × 4

⟼ ⠀⠀440 = 22 × Radius × 4

⟼ ⠀⠀440 = 88 × Radius

⟼ ⠀⠀ 440 ÷ 88 = Radius

⟼ ⠀⠀ 5cm = Radius

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Verification :-

⟶ C.S.A of Cylinder = 2πrh

⟶ 880 = 2 × 22/7 × 5 × 28

⟶ 880 = 2 × 22 × 5 × 4

⟶ 880 = 44 × 20

⟶ 880 = 880

❏ Hence Verified

Therefore, Radius of Cylinder = 5cm

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