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?

The slant height of the larger cone is equal to the slant height of the smaller cone.
The slant height of the larger cone is double the slant height of the smaller cone.
The slant height of the larger cone is 4 times the slant height of the smaller cone.
The slant height of the larger cone is 8 times the slant height of the smaller cone.

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alexanderr0546 alexanderr0546 · Answer 1 · 2021-03-09T18:27:08+01:00

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

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ayoushivt ayoushivt · Answer 2 · 2022-07-29T12:31:22+02:00

The slant height of the larger cone is double the slant height of the smaller cone, the correct option is B.

Cone is a three-dimensional figure, it has a circular base that tapers down to a point called a vertex.

Let the cone has height of h ft and radius of r ft.

The slant height of the cone is calculated by

[tex]\rm l =\sqrt { r^2 + h^2[/tex]

When the radius is doubled, the new radius will be 2r and height will be 2h

[tex]\rm l =\sqrt {4 r^2 + 4h^2}\\\\\rm l =2 \sqrt { r^2 + h^2[/tex]

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