Question

i.
The curved surface area of a cylinder is 440 cm 2
and its radius is 5 cm. Find its height.​

Answer 1

Using Formula

Curved Surface Area of Cylinder=2πr(r+h)

Now,Let the height be x

By the problem,

$= > 2 \times \frac{22}{7} \times 5(5 + x) = 440 {cm}^{2} \\ = > 5(5 + x) = 440 \times \frac{7}{44} \\ = > 25 + 5x = 70 \\ = > 5x = 70 - 25 \\ = > 5x = 45 \\ = > x = \frac{45}{5} \\ = > x = 9 \\ so \: required \: height \: is \: 9cm$

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Answer 2

CSA of cylinder :440 cm^2

radius :5cm

CSA of cylinder=2pie(r)(h)

440=2x22/7x5(h)

440x7/2x22x5=h

h=14cm

height of cylinder=14cm