Question

How many whole cans can the company make out of each sheet of metal?

Answer 1

18

Explanation:

Total Surface Area of the Metal Sheet =
`1000\:in^2`

Given a cylinder with diameter 3 Inch and height
`4(1)/(4) in`

To determine how many whole cans can be made, the first step is to find the total surface area of each of the cylindrical can.

Total Surface Area of a cylinder =
`2\pi r^2+2\pi rh`

• Radius =3÷2=1.5 Inch

• Height of the can =
  `4(1)/(4) in`

Total Surface Area of each can

`2\pi r^2+2\pi rh=2\pi r(r+h)\\=2*1.5*\pi(1.5+4.25)\\=3\pi *5.75\\=17.25\pi \:in^2`

Number of Cans that can be Made

To determine this, we divide the total surface area of the metal sheet by the total surface area of each can.

Number of Cans=Total surface area of the metal sheet÷Total surface area of each can.

`=1000 / 17.25\pi\\=18.45`

Therefore, the company can make 18 whole cans from each sheet of metal.