Answer:
The slant height of the cone affected is two times the slant height of original cone
Explanation:
we know that
If the height and base radius of a cone are increased by a factor of
to create a similar cone
then
the scale factor is equal to

therefore
the slant height of the cone affected is equal to the slant height of the original cone multiplied by the scale factor
Find the slant height of the original cone
Let
l-----> slant height of original cone
la-----> slant height of the cone affected
Applying the Pythagoras theorem

so


The slant height of the cone affected is two times the slant height of original cone