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ale4655 [162]
3 years ago
7

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

Mathematics
1 answer:
klio [65]3 years ago
6 0

Answer:

18

Step-by-step explanation:

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

Given a cylinder with diameter 3 Inch and height 4\frac{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\frac{1}{4} in

<u>Total Surface Area of each can </u>

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

<u>Number of Cans that can be Made </u>

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 \div 17.25\pi\\=18.45

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

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