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A cylinder has a diameter of 20 cm. The area of curved surface is 1000 cm^{2}.

Find the height of the cylinder correct to one decimal place.

Answer:

**Solution:**

The area of any given cylinder's curved surface with a base radius of "r" and a height of "h" is referred to as the "curved surface area of a cylinder" (CSA)

Given diameter of the cylinder, d = 20 cm

Radius, r = d/2 = 20/2 = 10 cm

Curved surface area = 1000 cm^{2}

2π rh = 1000

2×3.14×10×h = 1000

62.8h = 1000

h = 1000/62.8

= 15.9 cm

**Hence the height of the cylinder is 15.9 cm.**

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