1. ## Linear Approximation..

Approximations: A circular cylindrical tank,
V=
πr^2h of internal radius 12m and height 20m is to be painted on the inside: top,bottom and sides,with paint of thickness 0.05cm.

Use the linear approximation of
V to calculate how many litres of paint (1 litre=1000cm^3) are required?

convert all units to cm

2. Originally Posted by Raidan
Approximations: A circular cylindrical tank,
V=
πr^2h of internal radius 12m and height 20m is to be painted on the inside: top,bottom and sides,with paint of thickness 0.05cm.

Use the linear approximation of
V to calculate how many litres of paint (1 litre=1000cm^3) are required?

convert all units to cm
$\Delta V \approx dV = V_r(1200,2000) \cdot \Delta r + V_h(1200,2000) \cdot \Delta h$ $\text{cm}^3$

the coordinates are of the form $(r,h)$