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A cylindrical tank of height H and radius r with a hemispherical cap on each end (also of radius, r) is shown below. The height of the liquid is h. The volume of the liquid in the tank can be calculated as follows. If h is smaller than r, the volume of the partially filled hemisphere is given by: V=pi/3(h^2)(3r-h) If h is greater than r but less than (H-r), the volume of the liquid is: V=2pi/3(r^3)+pir^2(h-r) If h is greater than r but less than (H-r), the volume of the liquid is: If h is greater than r but less than (H-r), the volume of the liquid is: V=4pi/3(r^3)+pi r^3(H-2r)-pi/3(H-h)^2(3r-H+h) Write a Matlab script to calculate and plot the volume of the liquid V versus the liquid height h for H=10 m & r=3m (11 marks). Make sure to use sufficient points to create a smooth curve. Provide a plot title and labels for the axes

A cylindrical tank of height H and radius r with a hemispherical cap on each end (also of radius, r) is shown below. The height of the liquid is h. The volume of the liquid in the tank can be calculated as follows. If h is smaller than r, the volume of the partially filled hemisphere is given by: V=pi/3(h^2)(3r-h) If h is greater than r but less than (H-r), the volume of the liquid is: V=2pi/3(r^3)+pir^2(h-r) If h is greater than r but less than (H-r), the volume of the liquid is: If h is greater than r but less than (H-r), the volume of the liquid is: V=4pi/3(r^3)+pi r^3(H-2r)-pi/3(H-h)^2(3r-H+h) Write a Matlab script to calculate and plot the volume of the liquid V versus the liquid height h for H=10 m & r=3m (11 marks). Make sure to use sufficient points to create a smooth curve. Provide a plot title and labels for the axes

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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A cylindrical tank of height H and radius r with a hemispherical cap on each end (also of radius, r) is shown below. The height of the liquid is h. The volume of the liquid in the tank can be calculated as follows. If h is smaller than r, the volume of the partially filled hemisphere is given by: V=pi/3(h^2)(3r-h) If h is greater than r but less than (H-r), the volume of the liquid is: V=2pi/3(r^3)+pir^2(h-r) If h is greater than r but less than (H-r), the volume of the liquid is: If h is greater than r but less than (H-r), the volume of the liquid is: V=4pi/3(r^3)+pi r^3(H-2r)-pi/3(H-h)^2(3r-H+h) Write a Matlab script to calculate and plot the volume of the liquid V versus the liquid height h for H=10 m & r=3m (11 marks). Make sure to use sufficient points to create a smooth curve. Provide a plot title and labels for the axes
Transcribed Image Text:A cylindrical tank of height H and radius r with a hemispherical cap on each end (also of radius, r) is shown below. The height of the liquid is h. The volume of the liquid in the tank can be calculated as follows. If h is smaller than r, the volume of the partially filled hemisphere is given by: V=pi/3(h^2)(3r-h) If h is greater than r but less than (H-r), the volume of the liquid is: V=2pi/3(r^3)+pir^2(h-r) If h is greater than r but less than (H-r), the volume of the liquid is: If h is greater than r but less than (H-r), the volume of the liquid is: V=4pi/3(r^3)+pi r^3(H-2r)-pi/3(H-h)^2(3r-H+h) Write a Matlab script to calculate and plot the volume of the liquid V versus the liquid height h for H=10 m & r=3m (11 marks). Make sure to use sufficient points to create a smooth curve. Provide a plot title and labels for the axes
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