Question

4. Find the area of the sheet required to make a cyclindrical container which is
open at one side and whose diameter is 28 cm and height is 20 cm. Find the
approximate area of the sheet required to make a lid of height 2 cm for this
container

Answer 1

Answer:

This is the answer

Hope this helps

Answer 2

Answer:

Given, For cylindrical container:

diameter (d) = 28 cm, height (h1) = 20 cm

And, for cylindrical lid:

height (h2) = 2 cm

Required to find: (i) Surface area of the cylinder with one side open

(ii) Area of sheet required to made a lid

We have, diameter (d) = 28 cm

⇒ radius (r) = d/2 = 28/2 = 14 cm

(i) Surface area of the cylinder with one side open = Curved surface area + Area of a base

= 2πrh1 + πr²

= πr (2h1 + r)

= (22/7) x 14 x (2 x 20 + 14)

= 22 x 2 x (40 + 14)

= 22 x 2 x 54

= 2376 sq.cm

(ii) Area of sheet required to made a lid = Curved surface area of lid + Area of upper surface

= 2πrh2 + πr²

= πr (2h2 + r)

= (22/7) x 14 x (2 x 2 + 14)

= 22 x 2 x (4 + 14)

= 22 x 2 x 18

= 792 sq. cm

Thus, the area of the sheet required to make the cylindrical container is 2376 sq. cm and the approximate area of a sheet required to make the lid is 792 sq. cm.