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Lyrx [107]
3 years ago
7

Due to manufacturing error, three cans of regular soda were accidentally filled with diet soda and placed into a 24 pk. Suppose

that two cans are randomly selected from the 24-pk.
a) Determine the probability that both contain diet soda.
b) Determine the probability that both contain regular soda.
c) Determine the probability that exactly one is diet and exactly one is regular.

I'm not knowledgeable about how to write this out to solve it? Please help? ​
Mathematics
1 answer:
Goryan [66]3 years ago
6 0

Hope this helps you If you need any more help let me know in the comments

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Answer:

V = πr²h

S=2πrh

h= 2/3 millimeters

new height= 8/3 millimeters

S= 8π  millimeters square

New surface area = 32π  millimeters square

Step-by-step explanation:

The volume of the cylinder is given by V = πr²h   where r is the radius and h is the height.

The surface area of the cylinder is given by  S= 2πrh + 2πr²

Where πr² gives the area of the base and 2πr² gives the area of the top and bottom surfaces. The surface area S of a cylinder, not including the top and bottom of the cylinder, is therefore S=2πrh.

V = πr²h

96π= π (6*6) (h+2)

96 = 36 (h+2)

96/36= h+2

h= 96/36-2

h= 96-72/36

h= 24/36

h= 4/6

h= 2/3 millimeters

New height

h + 2= 2/3 + 2

= 2+6/3= 8/3 millimeters

Now S =2πrh

S = 2π(6) (2/3)

S= 8π  millimeters square

New Surface area

S = 2π(6) (8/3)

S= 32π  millimeters square

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Step-by-step explanation:

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