Engineering
05.04.2021 19:59
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C) Also known as moral philosophy, Et hics is a branch of phil osophy which seeks

C) Also known as moral philosophy, Et hics is a branch of phil osophy which seeks to address questions about morality; that is, about concepts like good and bad, right and wrong, justice, virtue, etc. There is quite a number of approaches to the study of ethical issues. With clear illustrations, compare and contrast Duty-based and Out come – based ethics
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meganwintergirl
meganwintergirl
4,7(24 marks)

dV=113.55 \ cm^3

Explanation:

The Differential of Multivariable Functions

Given a multivariable function V(r,h), the total differential of V is computed by

dV=\displaystyle \frac{\partial V}{\partial  r} dr+\frac{\partial V}{\partial  h} dh

The volume of a cylinder of radius r and height h is

V=\pi\cdot r^2\cdot h

Let's compute the partial derivatives

\frac{\partial V}{\partial  r}=2\pi rh

\displaystyle \frac{\partial V}{\partial  h}=\pi r^2

The total differential is

dV=(2\pi rh)dr+(\pi r^2)dh

The differential dr is approximated to \Delta r and the differential dh is approximated to \Delta h. We can see the increment of radius is the thick of the metal in the sides, and the increment of the height is the thick of the metal in the top and bottom. Thus dr=0.05 cm, dr=0.2 cm

dV=(2\pi \cdot 3\ cm\cdot 30\ cm)0.2\ cm+(\pi\ (3\ cm)^2)0.05\ cm

dV=113.55 \ cm^3

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