You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as V = zh°( ) where V = volume [m³J, h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 3 iterations to find the height (h=?) for storing 25 m³ of water with 7 m diameter-tank. Take = = 3.1416 and initial guess for h=R. Choices 1.6416 2.1341 1.5924 1.5595
You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed as V = zh°( ) where V = volume [m³J, h = depth of water in tank [m], and R = the tank radius [m]. Use Newton Raphson method with 3 iterations to find the height (h=?) for storing 25 m³ of water with 7 m diameter-tank. Take = = 3.1416 and initial guess for h=R. Choices 1.6416 2.1341 1.5924 1.5595
Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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![# Educational Website Content
## Problem Description:
You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed using the formula:
\[ V = \pi h^2 \left(\frac{3R-h}{3}\right) \]
where:
- \( V \) = volume \([m^3]\)
- \( h \) = depth of water in the tank \([m]\)
- \( R \) = tank radius \([m]\)
Use the Newton-Raphson method with 3 iterations to find the height (\( h \)) needed to store 25 \( m^3 \) of water in a tank with a 7 m diameter. Take \( \pi = 3.1416 \) and the initial guess for \( h = R \).
## Diagram Explanation:
The diagram depicts a cross-sectional view of the spherical tank:
- The blue semicircle represents the tank.
- The line segment within the semicircle shows the depth (\( h \)) of the water.
- The dashed vertical line is the diameter of the tank.
- \( R \) is the radius, depicted from the center of the semicircle to its edge.
## Choices:
\[
\begin{align*}
\text{1.} & \quad 1.6416 \\
\text{2.} & \quad 2.1341 \\
\text{3.} & \quad 1.5924 \\
\text{4.} & \quad 1.5595 \\
\end{align*}
\]
## Actions:
- Select the correct height (\( h \)) for the given volume using the provided method.
- Use the 'Submit' button to confirm your choice.
### Notes:
- **Homework 11** is displayed on the side, with question selection options and progress tracking.
- You can navigate between questions, attempt them, and monitor how many questions you've completed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97234a29-7009-4d8e-8d71-9606bd71717d%2Ff9ebf856-2539-4738-91ce-647831a9ce41%2Fsw245os_processed.png&w=3840&q=75)
Transcribed Image Text:# Educational Website Content
## Problem Description:
You are designing a spherical tank to hold water for a small village. The volume of liquid it can hold can be computed using the formula:
\[ V = \pi h^2 \left(\frac{3R-h}{3}\right) \]
where:
- \( V \) = volume \([m^3]\)
- \( h \) = depth of water in the tank \([m]\)
- \( R \) = tank radius \([m]\)
Use the Newton-Raphson method with 3 iterations to find the height (\( h \)) needed to store 25 \( m^3 \) of water in a tank with a 7 m diameter. Take \( \pi = 3.1416 \) and the initial guess for \( h = R \).
## Diagram Explanation:
The diagram depicts a cross-sectional view of the spherical tank:
- The blue semicircle represents the tank.
- The line segment within the semicircle shows the depth (\( h \)) of the water.
- The dashed vertical line is the diameter of the tank.
- \( R \) is the radius, depicted from the center of the semicircle to its edge.
## Choices:
\[
\begin{align*}
\text{1.} & \quad 1.6416 \\
\text{2.} & \quad 2.1341 \\
\text{3.} & \quad 1.5924 \\
\text{4.} & \quad 1.5595 \\
\end{align*}
\]
## Actions:
- Select the correct height (\( h \)) for the given volume using the provided method.
- Use the 'Submit' button to confirm your choice.
### Notes:
- **Homework 11** is displayed on the side, with question selection options and progress tracking.
- You can navigate between questions, attempt them, and monitor how many questions you've completed.
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