Question

A cone has a slant height of a 26 cm and a radius of 10 cm what is the height of the cone

Answer 1

The height of the cone is 24 cm.

How is the slant height calculated?

The distance along the curved surface, measured from the edge at the top to a point on the circumference of the circle at the base, is known as the slant height of an object (such as a cone or pyramid). In other words, the slant height, represented either as s or l, is the shortest distance that may be traveled along the surface of the solid.

Slant height(l)=26cm

Radius(r)=10cm

It is known that, $l^{2}=r^{2}+h^{2}$

Here, h is the height of the cone.

On substituting the values,

$26^{2}= 10^{2}+h^{2}$

$\\676=100+h^{2}$

$h^{2}=676-100$

$h^{2}=576$

$h=\sqrt{576}$

h=24

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