Using maple software 2022

diameter of the circular base coincides with the axis from = 1 = 1 . In the positive quadrant of the plane, the side of the of the solid coincides with the curve = () = ( + 3)^(1/2) 2 The top of the solid is a flat disc at = 2.

Step one: Define to be ( + 3)^(1/2) 2. The next two steps are used to invert () so that you obtain an expression for as a function of . You will then use this to calculate the area of a (infinitesimally thin) disc obtained by cutting a slice through the solid at a fixed value of . The area of the disc can then be integrated over to obtain the volume of the solid.

Step two: Define to be . 4. Use the function solve(g,x) to obtain an expression for in terms of . (The output line will just be an expression in terms of y).

step three: Calculate the area of an infinitesimally thin disc of the solid perpendicular to the axis as a function of .

Step four: Using the int function, integrate the expression you got for the disc area in Step four over , to obtain the volume of the solid.

Step five: Convert the answer you obtained in Step five to a decimal number by using the evalf function.