Question

The height and base radius of a cone are increased by a factor of 2 to create a similar cone. How is the slant height of the cone affected?

Answer 1

the slant height of the larger cone is double the slant height of the smaller cone

Explanation:

got 100%

Answer 2

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
`2` to create a similar cone

then

the scale factor is equal to
`2`

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

`l=\sqrt{h^(2) +r^(2) }`

so

`la=2l`

`la=2\sqrt{h^(2) +r^(2) }`

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