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The height of?æ a cone is found by use of Pythagoras theorem. Pythagoras theorem states that the sum of the squares of two shorter sides (in this case, the shorter sides are?æ the height and radius of the cone) are equal to?æ the square of the longer side (for this case the longer side is the length of the cone).

Q: How do you find the height of a cone when only given the radius and length?

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By means of Pythagoras' theorem providing you are given the radius and perpendicular height of the cone

I assume you are given a cone. In that case, the vertical cross-section of the cone is a right triangle, with the sides related by the formula,L2 = H2 + r2 (where L is the length, H is the height and r is the radius.)In that case, rearrange the formula and you'll getr2 = L2 - H2 orr = sqrt(L2 - H2).

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.

The answer will depend on the orientation of the shape. If the arc length is less than pi*radius, and the shape is like the silhouette of an ice cream cone, then the height equals the radius. If the arc length is greater than pi*radius and the shape is with the gap on the side (like a Pacman), then the height is 2*radius. Between these two are more complicated answers. But I do not wish to spend time on them without knowing what exactly is wanted.

A right circular cone with 8 height and 6 radius has a slant height of 10.

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The radius IS given, since height of hemisphere = radius of hemisphere!

By means of Pythagoras' theorem providing you are given the radius and perpendicular height of the cone

I assume you are given a cone. In that case, the vertical cross-section of the cone is a right triangle, with the sides related by the formula,L2 = H2 + r2 (where L is the length, H is the height and r is the radius.)In that case, rearrange the formula and you'll getr2 = L2 - H2 orr = sqrt(L2 - H2).

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.

The height would be The square root of the square of the slant surface length minus the square of the radius of the cone at the base.

It is the length of the slope of a right cone.

A circle with a radius equal to the base of the cone. This circle will be tangential to a segment of a circle whose arc is the same length as the circle, and whose radius is the slant height of the cone.

The answer will depend on the orientation of the shape. If the arc length is less than pi*radius, and the shape is like the silhouette of an ice cream cone, then the height equals the radius. If the arc length is greater than pi*radius and the shape is with the gap on the side (like a Pacman), then the height is 2*radius. Between these two are more complicated answers. But I do not wish to spend time on them without knowing what exactly is wanted.

A right circular cone with 8 height and 6 radius has a slant height of 10.

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.

Slant height is 39.98 cm

The volume of a cone is 1/3 pi times the radius squared times the height. When given the volume and height divide both sides by the height. Volume divided by height is equal to 1/3 times pi times the radius squared. Now divide both sides by 1/3 pi. This will leave you with the radius squared. Take the square root of both sides and you will get the radius.