# What is the formula of lateral area of a cone?

## What is the formula of lateral area of a 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.

### What is the lateral area of the cone image?

Lateral surface area of a cone: L = πrs = πr√(r2 + h2)

#### What do you call the lateral surface of a right circular cone?

The lateral surface area of a right circular cone is where is the radius of the circle at the bottom of the cone and is the slant height of the cone. The surface area of the bottom circle of a cone is the same as for any circle, .

What is the lateral area of a right circular cone if the diameter?

94 m² is the lateral area of a right circular cone if the diameter of the base is 4m and the slant height of the cone is 15m. Solution: Lateral Area = pi*r ( h²+r²) r = 4/2 r = 2 meters Lateral Area = 3.14*2 ( 15²+2²) Lateral Area = 94 m². This answer has been confirmed as correct and helpful.

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.

## What is the equation of right circular cone?

Right Circular Cone Formula For a right circular cone of radius ‘r’, height ‘h’ and slant height ‘l’, we have; Curved surface area of right circular cone = π r l. Total surface area of a right circular cone = π(r + l) r. Volume of a right circular cone = 1/3π r2 h.

### What is the formula for finding a cone?

The formula for the volume of a cone is V=1/3hπr².

#### How do you calculate the lateral area of a cone?

The formula for a cone’s lateral area is the same as that of the pyramid: LA = 1/2 x p x s where s is the slant height. However, since a cone’s base is a circle, you solve for its perimeter using the cone’s radius:

What is the surface area of a right circular cone?

Surface Area of a right circular cone = Π r [ r + √ ( h 2 + r 2 ) ] = Π 5 [ 5 + √ ( 12 2 + 5 2 ) ] = 282.7433cm 2.

What is the formula for a right cone?

The formula for the total surface area of a right cone is T . S . A = π r l + π r 2 . Example 2: Find the total surface area of a right cone if the radius is 6 inches and the slant height is 10 inches.

## What is the formula for the volume of a right circular cone?

The volume of a right circular cone is calculated using the following formula: V = 1/3pr 2h (3-17) The surface area of a right circular cone is calculated using the following formula: SA = pr 2 + prl (3-18) The surface area of a right circular cone is expressed in square units, and the volume of a right circular cone is expressed in cubic units.