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zvonat [6]
2 years ago
14

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

Mathematics
1 answer:
Vedmedyk [2.9K]2 years ago
7 0

The height of the cone is 24 cm.

<h3>How is the slant height calculated?</h3>

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

Learn more about height here:

brainly.com/question/1739912

#SPJ4

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