# How do you find the surface area of a slant height?

## How do you find the surface area of a slant height?

To find the lateral area of a square pyramid, find the area of one side face (triangle) and multiply it by 4. If a and l are the base length and the slant height of a square pyramid, then the lateral area of the square pyramid = 4 (½ × a × l) = 2al.

What is the surface area of the cone below?

A = πr(r + l) A = π * 5 * (5 + 15) = 314.16 in²

How do you find the surface area of a cone with diameter and slant height?

The total surface area of a cone with slant height and diameter of the cone can be found by using the formula, T = π(D/2) ((D/2) + l), where D is the Diameter and l is the slant height.

### How do you find the area of a cone with slant height and diameter?

A=πrl , where l is the slant height of the cone . Example 1: Find the lateral surface area of a right cone if the radius is 4 cm and the slant height is 5 cm. The formula for the total surface area of a right cone is T.

What is the surface area of a cone and a cylinder?

Hence the area of the curved portion of the cylinder is 2πrh. Adding in the area of the circles at each end of the cylinder, we obtain, Surface Area of a cylinder = 2πrh + 2πr2….

Area of VCB = × CB × VE
= 36 cm2
Surface area = 4 × 15 + 36
= 96 cm2

Do cones and cylinders have the same surface area?

They also have the same curved surface area.

#### How do you find the slant of a cone?

Slant height of a cone: s = √(r2 + h2)…Use the following additional formulas along with the formulas above.

1. Given radius and height calculate the slant height, volume, lateral surface area and total surface area.
2. Given radius and slant height calculate the height, volume, lateral surface area and total surface area.

What is the slant height of the cone?

The slant height of an object (such as a cone, or pyramid) is the distance along the curved surface, drawn from the edge at the top to a point on the circumference of the circle at the base.

What is the formula for a surface area of a cone?

Surface area of cone formula. Cone surface area = circular base area + curved surface area. If l = slant height and given a cone’s base is circular and the area of a circle is πr² (where π= pi and r = radius of circle), the formula becomes.

## What is the formula for the slant height of a cone?

formula for the slant height of a cone is I= s-π(pie)r^2 over π(pie) where S is surface area of the cone. S(surface area) = 500π ft^2. r(radius) = 15 ft.

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:

How do you find the height of a right cone?

Length of the side (slant height) and radius of cone is known. If it is a right circular cone ,we can apply Pythagorous theorem to find it’s height. If r is radius l is slant height and h is height , then according to Pythagorous theorem, h^2 + r^2 = l^2 , h^2 =l^2 – r^2.