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3 years ago

A city sewer pipe has a diameter of 7 ft and a length of 100 ft. Find the volume of the pipe. Use 3.14 as

Mathematics

2 answers:

son4ous [18]3 years ago

7 0

Answer:

3846.5 ft³

Step-by-step explanation:

A pipe has the shape of a cylinder.

Volume of cylinder = πr²h

radius (r) = 7/2 = 3.5

height (h) = 100

π = 3.14

Volume of cylinder = πr²h

Volume = 3.14 x (3.5)² x 100

Volume = 3846.5 ft³

Therefore, the volume of the pipe is 3846.5 ft³.

Advocard [28]3 years ago

7 0

Answer: $V =3846.5\ ft^3$

Step-by-step explanation:

As we do not know the internal radius of the pipe, then to calculate its volume we assume that the pipe is full of water.

This means that the volume of the pipe is the volume of a cylinder with radius $r = \frac{7}{2}\ ft$ and length $h = 100\ ft$

The volume of a cylinder is calculated using the following formula:

$V =\pi r^2h$

Then the volume is:

$V =(3.14)(3.5)^2(100)$

$V =3846.5\ ft^3$

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krek1111 [17]

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Isolate variable.
Divide 4 by 4 to get it by itself.

Now do the same to other side.
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The half-life of a certain radioactive material is 78 hours. An initial amount of the material has a mass of 790 kg.. Write an e

adoni [48]

half life i= 78 hours
amount after 78 hours is 395 kg:
395 = 790e^(k*78)

Dividing by 790 and taking natural log
ln (395/790) = (k*78)
-0.6931 = 78k
-0.00888 = k

lets calculate how much is left after 18 hours:
Amount(18)
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3 years ago

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Number 9 please. I need help

Sloan [31]

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6800/ (1/12) = X

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3 years ago

A construction manager needs 12 workers to complete a building project in 54 days. Find in terms of T the number of workers need

ch4aika [34]

Answer:

Step-by-step explanation:

A construction manager needs 12 workers to complete a building project in 54 days, we can write;

12 workers = 54 days

T find the number of workers needed to complete the same project in T days, we will write;

x workers = T days

Divide both equations

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Cross multiply

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3 years ago

Hamburgers cost $2.50 and cheeseburgers cost $3.50 at a snack bar. Ben has sold no more than $30 worth of hamburgers and cheeseb

Irina18 [472]

Given 2.50x + 3.50y < 30.

Where x represent the number of hamburgers and y represent the number of cheeseburgers.

Now question is to find the maximum value of hamburgers Ben could have sold when he has sold 4 cheeseburgers.

So, first step is to plug in y=4 in the given inequality. So,

2.50x+3.50(4)<30

2.50x+14 <30

2.50x<30- 14 Subtracting 14 from each sides.

2.50x< 16

$\frac{2.50x}{2.50}$ Dividing each sides by 2.50.

x<6.4

Now x being number of hamburgers must be an integer , so tha maximum value of x can be 6,

thus x = 6 hamburgers

So, the maximum value of hamburgers Ben could have sold is 6*2.5=$15

Hope this helps!!

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3 years ago