Question

Use the idea of total differential to find the approximate change in the volume of cylinder of radius 5 cm and height 10 cm if we decrease the radius by 0.01 cm and increase the height by 0.02 cm.

Answer 1

Answer:

Volume of a cylinder(tin can)

where r = radius = 4cm

h = height = 12cm

Applying the definition of the differential dz,

The differential of V is:

Suppose that the radius is decreased by 0.04 cm (dr = -0.04) and the height is decreased by 0,08 cm

(dh = - 0.08). Then

dV = 96 Pi (-0.04) + 16 Pi (-0.08) = 16.08

This difference in volumes represents the space occupied by the tin of the can.

Thus the amount of tin is approximately

Answer 2

Answer:

this is solved by using quaddratic explaination

Step-by-step explanation:

plug and chug