1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Lloyd was paid a 6% commission on sales of $95,292. How much money was he paid in commissions?
alexgriva [62]
$5717.52

You’d just take the 6 percent and make it 0.06 then multiply it by 95,292
4 0
2 years ago
A used book store will trade 2 of its books for 3 of yours. If Val brings in 18 books to trade, how many books can she get from
Shalnov [3]
You need to set it up as a fraction and make the fractions equal each other. 
2/3 (2 of their books for 3 of yours)
x/18 (x amount of their books for 18 of yours)
(2/3)=(x/18)
multiply both sides by 18 
and you get 
36/3 which reduces to 12

so your answer is 12
5 0
3 years ago
Read 2 more answers
Find the area of the shaded portion of the figure. Each vertex of square ABCD is at the center of a circle. Round your answer to
IrinaK [193]

<u>Given:</u>

Each circle has a diameter of 2 inches each.

The outer square has a side length of 4 inches and the square ABCD has a side length of 2 inches.

<u>To find:</u>

The area of the shaded region.

<u>Solution:</u>

Each circle has a diameter of 2 inches. The square ABCD is at the center of each circle so it has a side length of 1 inch.

To determine the area of the shaded region, we subtract the area of the quarter-circles in the square ABCD from the area of the square ABCD.

The area of a quarter-circle =\frac{\pi r^{2} }{4} .

All the quarter-circles have a radius of 1 inch.

The area of 1 quarter-circle =\frac{\pi r^{2} }{4} = \frac{\pi (1^{2}) }{4} = \frac{3.1415}{4} .

The area of 4 quarter-circles =4(\frac{3.1415}{4}) = 3.1415.

So the area of the quarter-circles in the square ABCD is 3.1514 square inches.

The area of a square = a^{2} .

The area of square ABCD =2^{2} =4.

The area of the shaded region =4-3.1415=0.8585.

The area of the shaded region is 0.8585 square inches.

3 0
3 years ago
How many ways can 6 books be arranged on a shelf? <br> A. 21<br> B.120 <br> C.360 <br> D. 720
Kitty [74]
Six books can be arranged 720 different ways<span>. Because there are six books to arrange on the shelf, there are six stages in the problem. You must decide what the first book will be, what the second book will be, what the third book will be, and so on.</span>
5 0
3 years ago
What is the relationship between a + b and b + a
Andrew [12]

Answer:Commutative property

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • What is the answer to 5x+4=9
    5·1 answer
  • Convert this percent to a fraction in lowest terms.
    15·1 answer
  • Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
    13·1 answer
  • Make t the subject of the formula v=u+5t
    9·1 answer
  • Write four numbers that each have six digits.Order the numbers from least to greatest.
    12·2 answers
  • What is the mass of a football
    12·1 answer
  • 1.
    9·1 answer
  • What is 0 = 8z + 8?​
    12·2 answers
  • Wake up to reality! Nothing ever goes as planned in this world. The longer you live, the more you realize that in this reality o
    15·1 answer
  • What fraction is equivalent to -3/2
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!