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What is the slant height formula?

Updated: 4/28/2022
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14y ago

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The slant height of a cone is given by the formula , where r is the radius of the circle and h is the height from the center of the circle to the apex of the cone.

It is trivial to see why this formula holds true. If a right triangle is inscribed inside the cone, with one leg of the triangle being the line segment from the center of the circle to its radius, and the second leg of the triangle being from the apex of the cone to the center of the circle, then one leg will have length h, another leg will have length r, and by the Pythagorean Thereon, r2 + h2 = d2, and gives the length of the circle to the apex of the cone.

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Q: What is the slant height formula?
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What is the slant height of a cone formula?

The "slant height" is called the lateral height.There is no formula. However, if you find the radius of the base and the height of the cone, you can form a triangle. Now use the Pythagorean theorem. Radius2 + height2 = lateral height2.


What is the formula to find the slant height of a cone?

area base hight


How do you find the slant height of a cone if you have the lateral area and slant height?

Why do you need to FIND the slant height if you have the [lateral height and] slant height?


How do you find the slant height of a hexagonal pyramid give the height is 13.75 and the lateral edge is 15?

use formula bh/2. Substitute base with 15 and height with 13.75 and divide the product by two. That is the slant height.


How do you find the radius and the slant height of a heap of sand in the shape of cone?

the slant height of a right circular cone is the distance from any point on the circle to the apex of the cone . The slant height of a cone is given by the formula ,√r2+h2 where r is the radius of the circle and h is the height from the center of the circle to the apex of the cone.


How do you do slant height?

the slant height is always 2 units bigger then the height


How do you find slant height?

the slant height is always 2 units bigger then the height


Is slant height greater than the height?

Its slant height is bigger. Think of it as a triangle: the hypotenuse is always the largest side, and the slant height is like the hypotenuse.


Which is bigger a pyramids height or its slant height?

Its slant height is bigger. Think of it as a triangle: the hypotenuse is always the largest side, and the slant height is like the hypotenuse.


My formula for surface area of a cone uses l for slant height. Where does l come from I understand when people use s for slant height but why l?

I belive you can use any letter as a variable for slant height. yea... you can use any letter for any side or whatever that involves a variable (an unknown)


What is the formula to find the area of a cone?

Base surface = pi*r2 Curved surface = pi*r*l where l is the slant height If the vertical height (h) is given rather than the slant height, then use Pythagoras: l2 = h2 + r2


How do you find the slant height of a solid?

(slant height)2= (height)2+(1/2 side)2