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maksim [4K]
2 years ago
10

A cast iron pipe used as a water main for a home has an outer diameter of 8 in. If the pipe has a thickness of 0.6 in, what volu

me of iron does 29 in of pipe contain? Answer in cubic inches. Round your answer to the nearest hundredth if necessary. (Note: diagram is not drawn to scale.)
Mathematics
1 answer:
Gnesinka [82]2 years ago
5 0

The volume of cast iron pipe is 1053.19 in³.

<h3>Volume of Cylinder</h3>

The volume of a cylinder can be calculated by: \pi *r^2*h, where:

r = radius

h= height

In this question, the cylinder is represented for a pipe, where:

r = inner diameter= inner\;diameter=outer\;diameter-2*thickness

h= length of pipe

From this, you should apply the volume of the pipe. See the steps:

  • Step 1 - Find the inner diameter

         inner diameter=outer diameter-2*thickness

         inner diameter=8-2*0.6

         inner diameter=8-1.2=6.8 in              

  • Step 2 - Find the volume of the pipe

                  V_{pipe}=\pi *r_{internal}^2*h\\ \\ V_{pipe}=\pi *(\frac{6.8}{2} )^2*29\\ \\ V_{pipe}=\pi *(3.4)^2*29=1053.19\;in^3

The volume of cast iron pipe is 1053.19 in³.

Read more about the volume of pipe here:

brainly.com/question/906588

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Crazy boy [7]

Answer:

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Step-by-step explanation:

These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.

a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.

  a1 = 3  (given)

  a2 = a1×r = 3×(-2) = -6

  a3 = a2×r = (-6)(-2) = 12

  a4 = a3×r = (12)(-2) = -24

  a5 = a4×r = (-24)(-2) = 48

The first 5 terms are 3, -6, 12, -24, 48.

__

The explicit formula for the terms of a geometric sequence is ...

  an = a1×r^(n -1)

Using the given values of a1 and r, the explicit formula for this sequence is ...

  an = 3(-2)^(n -1)

6 0
3 years ago
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Ne4ueva [31]
5/12+2/5
4.167+0.4
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It is the correct answer

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3 0
3 years ago
5. Landon bought a new car for $16,000 and it depreciates 4.5% every year. Write a function that describes
snow_tiger [21]

Answer:

<h3>The value C(t) of the car after  5  years is $12709.</h3>

Step-by-step explanation:

Given that Landon bought a new car for $16,000 and it depreciates 4.5% every year.

<h3>To find the value C(t) of the car after  5  years:</h3>

Initial value C(0)= $16,000

Depreciation rate is  r=\frac{4.5}{100}

<h3>∴ r=0.045</h3>

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Substitute the values we get

C(5)=16000(1-0.045)^5

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=16000(0.7943)

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<h3>The value C(t) of the car after  5  years is  $ 12709</h3>
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vitfil [10]

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3 years ago
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