Key Lesson Marker


Bringing both area parts together, the circle and the lateral face, will give the surface area for a cone.

r is the radius of the base
s is the slant height

 

Example 3

These Vietnamese nón lá hats are now created in factories instead of by hand. The surface area of the hat needs to be determined so that each one made passes the material usage inspection. What is the surface area of the hat given a diameter of 16 inches and a slant height of 10 inches? Round your answer to the nearest tenth.

The hats don’t include a base, so the base is not included in the calculation. The surface area without the base is called the lateral surface area.

The nón lá hat’s surface area is approximately 251.3 square inches.