Respuesta :

vikram991

➢ Answєr :

[tex]\Huge{\boxed{\sf{\red{22.98m}}}}[/tex]

➢ Explαnαtion :

Givєn :

  • Radius of the tent,r = 3.5 m
  • Height of the tent, h = 8.4 m

To Find :

  • length of the cloth required.

Solution :

According to the question,

Slant height, l = [tex]\displaystyle{\sf{ \sqrt{{r}^2 + {h}^2} = \sqrt{{3.5}^2 + {8.5}^2}}}[/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ = 9.192m}}[/tex]

curved surface area = [tex]\displaystyle{\sf{ \pi rl}}[/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{22}{7} \times 3.5 \times 9.192{m}^2}}[/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ 101.112}}[/tex]

i.e., Area of the cloth is 101.11m²

Now, length of the cloth required = [tex]\displaystyle{\sf{ \frac{area}{width}}}[/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{101.11}{4.4}}}[/tex]

[tex]\implies[/tex] [tex]\large{\boxed{\sf{\red{22.98m}}}}[/tex]

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