Verified answer

Answer:

[tex]\sf\:\boxed{\bf\:Amount\:of\:cloth\:required \: is \: 2200 \: {cm}^{2} \: } \\ [/tex]

Step-by-step explanation:

Given that, The frame has a base diameter of 20 cm and height of 30 cm. A margin of 2.5 cm is to be given for folding it over the top and bottom of the frame.

So, We have

Diameter of base, d = 20 cm

Thus, radius of base, r = 10 cm

Now, Height of lampshade consists of height of frame + margin on both sides of top and bottom.

Height of the lampshade, h = 30 + 2.5 + 2.5 = 35 cm

So,

[tex]\sf\: Amount\:of\:cloth\:required \\ [/tex]

[tex]\sf\: = \: CSA_{(Cylinder)} \\ [/tex]

[tex]\sf\: = \: 2\pi rh \\ [/tex]

On substituting the values, we get

[tex]\sf\: = \: 2 \times \dfrac{22}{7} \times 10 \times 35 \\ [/tex]

[tex]\sf\: = \: 2 \times 22 \times 10 \times 5 \\ [/tex]

[tex]\sf\: = \: 2200 \: {cm}^{2} \\ [/tex]

Hence,

[tex]\implies\sf\:\boxed{\bf\:Amount\:of\:cloth\:required \: is \: 2200 \: {cm}^{2} \: } \\ [/tex]