Question

The curved surface area of a cylinder is 440 cm
and the perimeter of its base is 8 cm. Find the
height of the cylinder ,



plz send the answer ​

Answer 1

Answer:

55cm

Step-by-step explanation:

Given that the curved surface area of a cylinder is 440 cm square and the perimeter of it's base is 8 cm.

We have to find the height of the cylinder.

Curved surface area of cylinder = 2πrh

Substitute the values,

→ 2πrh = 440 .........(1)

The base of the cylinder is in the shape of circle. And the perimeter of the circle is 8 cm (as per question).

Perimeter of circle = 2πr

→ 2πr = 8 ............(2)

Substitute value of (2) in (1)

→ (8)h = 440

→ 8h = 440

→ h = 440/8

→ h = 55

Hence, the height of the cylinder is 55 cm.

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