Answer :
Answer:
[tex]755.98 ft^2[/tex]
Step-by-step explanation:
Height of the Cylinder= 30 feet
Diameter = 8 feet
Radius= Diameter/2 = 8/2 = 4 feet
The Amount of Metal Sheet used in constructing the tank is the Total Surface Area of the Tank.
Total Surface Area of a Cylinder =
[tex]=2\pi r(r+h)\\=2*\pi*4(4+30)\\=8*\pi*30=\\=240\pi\\=755.98 ft^2[/tex]
Metal sheet used to construct a right circular cylinder will be 854.51 square feet.
Total surface area of a right cylinder:
- Total surface area of a right cylinder is given by the expression,
Total surface area = [tex]2\pi r(r+h)[/tex]
Here, [tex]r=[/tex] Radius of the cylinder
[tex]h=[/tex] Height of the cylinder
Given in the question,
- A right cylinder with radius 'r' = [tex]\frac{8}{2}=4[/tex] feet
Height of the cylinder 'h' = 30 feet
Since, metal sheet required for the cylinder = Surface area of the cylinder
Substitute these values in the expression for "total surface area",
Total surface area = [tex]2\pi(4)(4+30)[/tex]
= [tex]272\pi[/tex]
= 854.513
= 854.51 square feet
Therefore, metal sheet used to construct the water tank will be 854.51 square feet.
Learn more about the surface area of a cylinder here,
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