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The area of a curved surface of a cylinder is 4400cm² and the circumference of its base 110cm. Find the height of the cylinder.​

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Step-by-step explanation:

Area of a curved surface of a cylinder = 4400 cm².

The circumference of its base = 110 cm.

As we know that,

Formula of : circumference of base = 2πr.

→ 2πr = 110.

→ πr = 55.

Formula of : Curved surface area of cylinder = 2πrh.

→ 2πrh = 4400.

Put the value of πr = 55 in the equation, we get.

→ 2(55)h = 4400.

→ 110h = 4400.

→ h = 40 cm.

Height of cylinder = 40 cm.