Jodi says that if you double the radius of a right circular cone and divide the slant height by 2, then the surface area of the cone stays the same since the 2s cancel each other out. How do you respond?

Answer 1

surface area= PI*r(r + aqrt(h^2+r^2))

notice slant height is sqrt(h^2+r^2)
surface area= pi*r (r+slantheight)

lets try it:
double r, divide slant by 2
surfacearea=pi(2r(2r+slantheight/2 )
= pi*r (4r+slantheight)

doesn't look the same to me...