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A cylindrical grain has a base radius of 5m. the surface area is 1099m^2. What is the height of the bin to the nearest metre?

Sagot :

tushargupta0691

The height of the bin is 29.9m.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

The total surface area of the cylinder formula is simply the sum of the base surface area and the lateral surface area.

The radius of the cylinder, r = 5m

Surface area = 1099 m²

∴ A = 2πrh + 2πr²

  [tex]h = \frac{A- 2\pi r^2}{2\pi r}[/tex]

  [tex]h = \frac{1099- 2 (3.141) 5^2}{2 (3.141) 5}[/tex]

  [tex]h = \frac{1099- 157.05}{31.41}[/tex]

  [tex]h = \frac{941.95}{31.41}[/tex]

  [tex]h = 29.9 m[/tex]

Therefore, the height of the bin is 29.9m.

Learn more about surface area here:

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