Step-by-step explanation: We can see that the blue function is translated three units up, and inverted, so its leading coefficient is negative. The blue function can be rewritten as -x^4 + 3 to reflect these transformations. The only difference between the blue and the red function is that the red is two units higher, or five units total from the origin. Since they are the same shape, it will have a -x^4 in the formula, but since it is translated five units up its formula will be -x^4 + 5, which is also equal to 5 - x^4.
Since (density = mass/volume), we can get the mass/weight of the liquid by integrating the density over the interior of the tank. This is done with the integral
which is more readily computed in cylindrical coordinates as
