3. a certain can of soup has a radius of 4 cm and a height of 10 cm. for a new can, the height
and the radius will each be increased by x cm. find the polynomial that gives the volume of the
new can in cm'. leave your answer in terms of . [use v = pi r^2h

The volume of the new can is

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z ----> the scale factor

In this problem

The volume of the original can is

The volume of the new can is

we have

substitute

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation: