The volume v of an ice cream cone is given by v = 2 3 πr3 + 1 3 πr2h where r is the common radius of the spherical cap and the cone, and h is the height of the cone. use linearization to estimate the change in the volume when r changes from r = 1.5 inches to r = 1.6 inches, and h changes from h = 3 inches to h = 3.3 inches. give your answer to two decimal places.

The change in volume is estimated to be 17.20

Step-by-step explanation:

The linearization or linear approximation of a function is given by:

where is the total differential of the function evaluated in the given point.

For the given function, the linearization is:

Taking inches and inches and evaluating the partial derivatives we obtain:

substituting the values and taking and inches we have:

Therefore the change in volume is estimated to be 17.20

idek

step-by-step explanation: