Answer:
The slant height of the cone affected is two times the slant height of original cone
Step-by-step explanation:
we know that
If the height and base radius of a cone are increased by a factor of [tex]2[/tex] to create a similar cone
then
the scale factor is equal to [tex]2[/tex]
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
[tex]l=\sqrt{h^{2} +r^{2} }[/tex]
so
[tex]la=2l[/tex]
[tex]la=2\sqrt{h^{2} +r^{2} }[/tex]
The slant height of the cone affected is two times the slant height of original cone
Answer:
the slant height of the larger cone is double the slant height of the smaller cone
Step-by-step explanation:
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