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When you make a cone, you fold the cone along its slant height and thus you get the cone which is curved. So when you need to find the curved surface area (Which excludes the base) you need to use the same slant height that you folded the paper along which gave you the cone.
Check out the links attached. It has some illustrations which will help.
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What is the slant height of a cone if the surface area is 395.64 square meters?
The surface area is a function of the height (or slant height) and the radius of the base. So, the slant height is a function of the surface area and the base-radius. Since the latter is unknown, the slant height cannot be calculated.
What is the surface area of a cone with a diameter 18 km and a slant height of 20.1 km?
A cone with a diameter of 18km and a slant height of 20.1km has a total surface area of about 822.78km2
What is the surface area of a cone with a diameter of 15 and a slant height of 15?
A cone with a diameter of 15 and a slant height of 15 will have a total surface area of about 530.14 units2
What is the surface area of a cone with a slant height of 22 cm and radius of 7 cm?
A cone with a slant height of 22cm and radius of 7cm has a total surface area of about 637.74cm2
What is the surface area of a right cone with a radius of 4 and a slant height of 13?
A right cone with a radius of 4 and a slant height of 13 has a total surface area of about 213.63 units2
What is the surface area of a right cone with a radius of 8 and a slant height of 15?
The surface area of a right cone with a radius of 8 and a slant height of 15 is: 377 units squared.
Why is it helpful to know the slant height of a pyramid to find its surface area?
Knowing the slant height helps because it represents the height of the triangle that makes up each lateral face. So, the slant height helps you to find the surface area of each lateral face.
What is the complete surface area of a right cone with a radius of 3 and a height of 15?
Slant height of the cone = sqrt(32 + 152) = 15.297 Base surface area = π(3)2 = 9π Curve surface area = π(3)(15.297) = 45.891π Total surface area = 9π + 45.891π = 54.891π
What will be the total surface area of a cone whose radius is 2r and slant height is half?
Total surface area = (piradius2)+(piradius*slant length)
Find the length of the slant height of a cone with a radius of 15cm and a surface area of 1884cm square?
Slant height is 39.98 cm
What is the surface area of a right cone with a slant height of 6 and a radius of 7?
A right cone with a slant height of 6 and a radius of 7 has a total surface area of about 245.04 square units.
What is the lateral surface area of a cone with a radius of 12cm and a slant height of 20cm?
The lateral surface area of a right circular cone with a radius of 12cm and a slant height of 20cm is approximately 754cm2
