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Fantom [35]
3 years ago
10

A typical soda can measures 12 centimeters tall and has a volume of 235.5 cubic centimeters. To the nearest whole number, how ma

ny square centimeters of aluminum are required to make a can?
Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

Answer:

  228 cm²

Step-by-step explanation:

The volume of a cylinder of radius r and height h is given by ...

  V = πr²·h

Filling in the given information, we can solve for r:

  235.5 = π·r²·12

  √(235.5/(12π)) = r ≈ 2.49937 . . . . cm

The area of a cylinder is given by ...

  A = 2πr² + 2πrh = 2πr(r +h)

Filling in the radius and height, we can find the area to be ...

  A = 2π·2.49937·(2.49937 +12) ≈ 227.698 . . . . cm²

About 228 cm² of aluminum are required to make a typical soda can.

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2 years ago
Amelia wants to rearrange the furniture in her room. She makes a scale drawing of her rectangular room,
vovangra [49]

Answer:

The other side = 13 feets long

Step-by-step explanation:

Given that :

Scale of drawing : 2 inches represents 5 feets

Area of rectangular room according to scale drawing = 24.96 in²

Length of one side of the room = 12 feets

Length of other side = x

Area of rectangle = Length * width

If :

2 inches = 5 feets

x = 12 feets

x = (12 *2) / 5

x = 4.8 inches

Hence,

For the scaled drawing :

4.8 * width = 24.96

Width = 24.96 / 4.8

Width = 5.2 inches

Converting to feets according to scale:

2 inches = 5 feets

5.2 inches = x feets

x = (5.2 * 5 ) / 2

x = 13 feets

Other side is 13 feets long

4 0
3 years ago
London has 3 meters of wood that he is using to make a small fence around his garden. If his fence has 5 sections, how wide is e
salantis [7]

Answer:

60cm

Step-by-step explanation:

total length of wood = 3m

number of sections = 5

width of each section = 3/5 = 0.6 m

= 60cm

3 0
2 years ago
If Colorado Springs, Colorado, has 1.6 times more days of sunshine than Boston, Massachusetts, how many days of sunshine does ea
Kay [80]
C = 1.6b
c + b = 442

1.6b + b = 442
2.6b = 442
b = 442 / 2.6
b = 170 <== Boston

c = 1.6b
c = 1.6(170)
c = 272 <== Colorado Springs
8 0
3 years ago
13. A new bank customer with $5,000 wants to open a money market account. The bank is
9966 [12]

Answer:

a) 900 dollars

b) 5900 dollars

Step-by-step explanation:

The complete question is

A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1.8%. a. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?

7 0
2 years ago
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