What is the lateral area of the given cone?

The formula of the lateral area of a cone is given as, lateral area of a cone = πrL where “r” and “L” are radius of the cone and the slant height of the cone. Thus, it is possible to determine the value of the lateral area of a cone if we have values of both the dimensions of the cone.

How do you find the lateral and total surface area of a cone?

Circular Cone Formulas in terms of radius r and height h:

1. Volume of a cone: V = (1/3)πr2h.
2. Slant height of a cone: s = √(r2 + h2)
3. Lateral surface area of a cone: L = πrs = πr√(r2 + h2)
4. Base surface area of a cone (a circle): B = πr.
5. Total surface area of a cone: A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))

Is the slant height of a cone the same as the height?

The vertical height (or altitude) which is the perpendicular distance from the top down to the base. The slant height which is the distance from the top, down the side, to a point on the base circumference.

Is lateral area and lateral surface area the same?

The lateral surface of an object is all of the sides of the object, excluding its base and top (when they exist). The lateral surface area is the area of the lateral surface. For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder: A = 2πrh.

What is lateral area?

The lateral surface of an object is all of the sides of the object, excluding its base and top (when they exist). The lateral surface area is the area of the lateral surface. For a pyramid, the lateral surface area is the sum of the areas of all of the triangular faces but excluding the area of the base.

What is lateral area measured in?

Lateral Area is the sum area of all the surfaces of the figure except the base and the top area. That means, lateral area is the sum of area of all the faces or lateral surfaces only. Based on the shape of the figure, the lateral area can be calculated accordingly. Lateral area is measured in square units.

How do u find lateral area?

Lateral indicates the side of something. Therefore, lateral surface area is found by finding the surface area of the sides of the object. This is done by finding the perimeter of the base and multiplying it by the height of any three-dimensional figure.

What is total surface area of a cone?

The total surface area of a cone is the combination of the curved surface as well as the base area of a cone. The formula to calculate the total surface area of the cone is: TSA of cone = πr2 + πrl = πr(l+r) square units.

How do you find the lateral height of a cone?

Trying to find the slant height of a cone? Use the height of the cone and the radius of the base to form a right triangle. Then, use the Pythagorean theorem to find the slant height.

Where is the slant height of a cone?

The slant height of a cone or pyramid is the length of a segment from the vertex point to the base along the outside of the shape. The altitude of a cone or pyramid is the length of a segment from the vertex point to center of the base inside of the shape, forming a right angle at the base.