answersLogoWhite

0


Best Answer

Area = πSr + πr²

Where:

S = the slant length of the cone

r = radius of the base

πr² = area of the base of the cone

πSr = area of outside of cone

--------------------------------------------------------------

The surface area of the cone is the sum of the area of the base and the slanted surface.

The area of the base is the area of a circle = πr²

The area of the slanted surface can be calculated by realising that if the slanted surface is cut by a straight line from the apex to the base it can be "unrolled" into a sector of a circle. Thus it is a fraction of the area of a circle. The length of the circumference of the sector is the length of the circumference of the base of the cone; the length of the whole circle from which this is a sector is the circle with radius of the slant height of the cone; thus:

area slanted surface = πS² × ((2πr)/(2πS)) = πSr

Thus the surface area of a cone = area base + area slant surface

→ surface_area_cone = πr² + πSr = πr(r + S)

where r is the radius of the base and S is the slant height.

User Avatar

Wiki User

8y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

15y ago

Area = C(pi)r + (pi)r2

Where:

C = the side length of the cone

r = radius of the base

(pi)r2 = the base of the cone

C(pi)r = outside of cone

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the formula for the surface area of a cone?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

The surface area formula for a right cone is the same as the surface area formula for an oblique cone?

False. The surface area formula for a right cone is not the same as the surface area formula for an oblique cone.


Can the surface area formula for a right cone is the same as the surface area formula of an oblique cone?

No, the formula is far from simple - requiring elliptical integrals.


Formula for area of cone?

Curved surface area of a cone = pi*radius*slant length


What does the s stand for in the formula for the surface area of a cone?

it stands for the total surface area


Surface area of a right cone?

The surface area of a right cone is the amount of square units that is needed to cover the surface of a cone. To find a surface area of a right cone , follow this formula S.A = 3.14rl + 3.14r(r) I hope it helped you.


What is a lateral area of a cone formula?

The curved surface area of a cone is: pi*radius*slant length.


Formula for calculating surface area of a cone?

The answer will depend on what information you have.


You cannot use the surface area formula for a right cone to find the surface area of an oblique cone.?

True. This is because the slant height of an oblique cone cannot be defined.


How do you calculate the surface area of a cone?

find the surface area of the cone and add it to the surface area of the base so the formula would be pi radius s plus pi radius squared


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

Surface Area = Pi*radius(radius + slant height)


What is the formula to find total area of a cone?

Curved Surface Area of a Cone:Multiply the base radius of the cone by pi. Multiply your answer by the length of the side of the cone.Then add the surface area of the base of the cone using the area of a circle = pi x r2


What is the formula for calculating development surface are of truncated cone?

The formula for calculating development surface area of a truncated cone is Avr = π [s (R + r) + R^2 + r^2]. The solution is area (A) subscript r where r is the radius of the top of the truncated cone. In this formula R stands for the radius of the bottom of the cone and s represents the slant height of the cone.