# How do you find the surface area of a frustum of a cone?

## How do you find the surface area of a frustum of a cone?

Answer: The Curved Surface Area (CSA) of the frustum of a cone is: = pi * l(R + r) where the (r) stands for = radius of the smaller circle and (R) stands for = radius of the bigger circle and the (l) = slant height of the frustum.

What is curved surface area of cone?

Curved surface area of a cone = π r l. Total surface area of a cone = π r ( l + r ) l = h 2 + r 2.

What is the formula for total surface area?

Variables:

Surface Area Formula Surface Area Meaning
SA=2B+Ph Find the area of each face. Add up all areas.
SA=B+12sP Find the area of each face. Add up all areas.
SA=2B+2πrh Find the area of the base, times 2, then add the areas to the areas of the rectangle, which is the circumference times the height.

### How do you calculate curved surface area?

The curved surface area of a cylinder is calculated using the formula, curved surface area of cylinder = 2πrh, where ‘r’ is the radius and ‘h’ is the height of the cylinder.

Does surface area mean TSA or CSA?

Curved Surface Area (CSA) – It includes the area of all the curved surfaces. Lateral Surface Area (LSA) – It includes the area of all the surface excluding the top and bottom areas. Total Surface Area (TSA) – It includes the area of all the surfaces of the object including the bases.

How do you find a surface area of a cone?

If the radius of the base of the cone is “r” and the slant height of the cone is “l”, the surface area of a cone is given as: Total Surface Area, T = πr(r + l) square units.

## What is the formula used to find the surface area of a cone?

The surface area of a cone is equal to the curved surface area plus the area of the base: π r 2 + π L r , \pi r^2 + \pi L r, πr2+πLr, where r denotes the radius of the base of the cone, and L denotes the slant height of the cone. The curved surface area is also called the lateral area.

How do you prove the curved surface area of a cone?

The curved surface area of the cone can be given by finding the area of the sector by using the formula, Area of the sector (in terms of length of arc) = (arc length × radius)/ 2 = ((2πr) × l)/2 = πrl. ∴ The curved surface area of a cone, S = πrl units2.

Where is CSA and TSA used?

Expert-verified answer whereas TSA means the total area of all the faces. 1. if it’s to find the area of the surface of a hollow cylinder. then u will use CSA means curved surface area.

### How do you calculate surface area of a cone?

Surface area of a cone : The surface area of a cone is given by the formula – area = pi * r * s + pi * r^2 . Where r is the radius of the circular base, and s is the slant height of the cone.. Examples : Input: radius = 5 slant_height = 13 height = 12 Output: Volume Of Cone = 314.159 Surface Area Of Cone = 282.743 Input: radius = 6 slant_height = 10 height = 8 Output: Volume Of Cone = 301

How can I measure a frustum inside a frustum?

A frustum can be determined by the height of the solid figure remaining after cutting off a cone or pyramid

• The radius of a frustum can be determined by calculating the radius of both the base i.e.
• The plane part of the frustum is called the floor
• What is the approximate surface area of the cone?

The total surface area of a cone is the sum of the area of its base and the lateral (side) surface. The lateral surface area of a cone is the area of the lateral or side surface only. Since a cone is closely related to a pyramid, the formulas for their surface areas are related.

## Is the cone has a greater volume than its frustum?

So the sphere’s volume is 4 3 vs 2 for the cylinder. Or more simply the sphere’s volume is 2 3 of the cylinder’s volume!. The Result. And so we get this amazing thing that the volume of a cone and sphere together make a cylinder (assuming they fit each other perfectly, so h=2r):