Question $1[25$ marks$]$

Write a C$++$ program that reads the radius $(r),$ height$1($h$1),$ and height$2($h$2)$ as real $($floating$-$point$)$ numbers. The program should validate that all values are positive real numbers; if any value is negative, the program should report that the data entered is invalid. After validating the input, calculate the surface area $($surfaceArea$)$ of a cone with a circular base. The program should then display, with descriptive labels, the radius, height$1,$ height$2,$ base area, and surface area.

Area $=$ base Area $+$ Lateral Area $=2rh1+r^2+r\sqrt[\phantom{2}]{h{2}^2+r^2}orr(2h1+r+\sqrt[\phantom{2}]{h{2}^2+r^2})$