Question

how much metal sheet is required to make an open cylindrical tank of radius 4.2m and height 15m
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Answer 1

Given :

Radius of a cylinder $4.2$ $m$ and height $15$ $m$.

To find :

The area of metal sheet that is required to make an open cylinder.

Step-by-step explanation:

• The area of metal sheet covers the LSA of the cylinder and the base of the cylinder
• Let the radius of the cylinder be $r$ and height be $h$

• The LSA of the cylinder goes by the formula

        $LSA=2\pi rh$

• The base of the cylinder is in the shape of a circle.
• The area of the base will be

        $Area=2\pi r^{2}$

• The area of the base must be added with the LSA of the cylinder.
• The final equation will be

         $Area = 2\pi rh+2\pi r^{2}$

• Take the common terms out

         $Area=2\pi r(h+r)$

• Substitute the values in the given equation

         $Area=2(3.14)(4.2)[15+4.2]$

• Remove the brackets

        $Area=26.376(19.2)$

• Find the product of the equation

        $Area=506.41$

Final answer :

The metal sheet that is required to make an open cylinder tank is $506.41$ $m^{2}$