Kyra will make 9 cans from the sheet of metal.
Solution:
Height of the can (h) = 5 in
Radius of the can (r) = 6 in
The can is in the shape of a cylinder.
Surface area of the cylinder = [tex]2 \pi r^{2}+2 \pi r h[/tex]
Surface area of the can = [tex]2 \times3.14 \times 6^{2}+2 \times 3.14 \times 6\times 5[/tex]
[tex]$=226.08+ 188.57[/tex]
[tex]=414.65[/tex]
Surface area of the can = 414. 65 in²
Area of sheet of metal = 3750 in²
To find how many cans able to make:
[tex]$\text { Number of cans} =\frac{\text { Area of sheet metal }}{\text { Surface area of the can }}[/tex]
[tex]$=\frac{3750}{414.65}[/tex]
= 9.04
Number of cans = 9
Hence Kyra will make 9 cans from the sheet of metal.
