a cylinder container store pickles . it need to be covered with cloth on all the sides except the base . find the surface area of cloth required if the radius and height of the container is 14 cm and 40cm respectively
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Answers
Given data :
- A cylindrical container store pickles.
- It need to be covered with cloth on all the sides except the base.
- The radius and height of the cylindrical container is 14 cm and 40cm respectively.
To find : The area of cloth require to cover the cylindrical container ?
Solution : Here, according to given data,
⟹ Radius of cylindrical container = 14 cm.
⟹ Height of cylindrical container = 40 cm.
Now, by formula,
⟹ Curved surface area of cylinder
= 2 * π * r * h
{ Where,
⟹ π = 22/7
⟹ r = radius
⟹ h = 40 cm }
⟹ Curved surface area of cylinder
= 2 * 22/7 * 14 * 40
⟹ Curved surface area of cylinder
= 2 * 22 * 2 * 40
⟹ Curved surface area of cylinder
= 44 * 2 * 40
⟹ Curved surface area of cylinder
= 88 * 40
⟹ Curved surface area of cylinder
= 3520 cm²
Now,
⟹ Area of top of cylinder
= π * r²
⟹ Area of top of cylinder
= 22/7 * ( 14 )²
⟹ Area of top of cylinder
= 22/7 * 196
⟹ Area of top of cylinder
= 22 * 28
⟹ Area of top of cylinder
= 616 cm²
Now, total surface area of cylindrical container which need to cover :
⟹ Total surface area of cylindrical container
= {Area of top of cylinder} + {Curved surface area of cylinder}
⟹ Total surface area of cylindrical container
= 616 + 3520
⟹ Total surface area of cylindrical container
= 4136 cm²
Answer : Hence, the area of cloth require to cover the cylindrical container is 4136 cm².
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