Answer:
Given that,
Anu wants to recover the cylindrical stool in his bedroom how much material does he need if there is no overlap and he does not recover the bottom of the store.
From the figure,
the diameter of the cylinder is 42 cm
height of the cylinder is 32 cm
we have that,
Curved surface area of the cylinder is,
[tex]=2\pi rh[/tex]where r is the radius of the cylinder and h is the height of the cylinder.
Radius of the cylinder is 42/2 cm =21 cm
Radius of the cylinder is 21 cm.
Substituting the values we get,
Curved surface area of the cylinder is,
[tex]=2\times\frac{22}{7}\times21\times32[/tex][tex]=4224cm^2[/tex]Area of the top is,
[tex]\begin{gathered} =2\pi r=2\times\frac{22}{7}\times21 \\ =132cm^2 \end{gathered}[/tex]Required area=Curved surface area+area of the top
we get,
Required area of the cylinder=
[tex]=4224+132[/tex][tex]=4356cm^2[/tex]The required amount of material is 4,356 cm square.