Answered

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2. It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm
from a metal sheet. How many square metres of the sheet are required for the same​

Sagot :

elcharly64

Answer:

It's required [tex]7.48\ m^2[/tex] of sheet for the tank

Step-by-step explanation:

Surface Area of a Cylinder

Given a right cylinder of base radius r and height h, the surface area is calculated as follows:

[tex]S=2\pi r^2+2\pi r h[/tex]

The cylindrical tank has a height of h=1 m and a base diameter of 140 cm. The radius is half the diameter, thus r=140/2 = 70 cm = 0.7 m. Substituting:

[tex]S=2\pi 0.7^2+2\pi (0.7)(1)[/tex]

[tex]S=2\pi 0.49+1.4\pi[/tex]

[tex]S=2.38\pi[/tex]

[tex]\boxed{S=7.48\ m^2}[/tex]

It's required [tex]7.48\ m^2[/tex] of sheet for the tank

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