Chapter 2.4, Problem 25SC

The shape of a bottle is approximated by two cylinders of radius r₁ and r₂ and heights h₁ and h₂, joined by a cone section of height h₃.

  Using the formulas for the volume of a cylinder, V = πr²h, and a cone section,

$V=\pi \frac{\left(r_1^2+r_1{r}_2+r_2^2\right)h}{3},$

develop pseudocode to compute the volume of the bottle. Using an actual bottle with known volume as a sample, make a hand calculation of your pseudocode.