Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
U7 L3 SA of Cones completed.notebook March 11, 2015 Measurement Relationships Day 3: Surface Area of Cones 1 U7 L3 SA of Cones completed.notebook March 11, 2015 is a three dimensional solid with a circular base. The lateral surface is curved and extends from the base to a point called the vertex. NOTE:The height is the line that hits the base at a 90o angle and is not to be confused with the slant height. Developing a formula for surface area of a cone: The lateral surface is a circle-sector (i.e. a piece of a circle). This sector is some frac on (one nth) of a circle with radius s (s being the slant height). Acircle = Asector = The circumference of the sector is one nth of the circumference of the whole circle with radius s. Ccircle = Since the circumference of the sector wraps around the circumference of the base of the cone (which is a circle with radius r), they must be equal in length. Therefore, we can write the following: s So, the formula for Surface area of a cone is: 2 U7 L3 SA of Cones completed.notebook March 11, 2015 EX. 2. The slant height of a cone is tripled. Does this triple the surface area of the cone? Explain. 3 U7 L3 SA of Cones completed.notebook March 11, 2015 radius. How do the two cones differ? How are they the same? EX. 4. The lateral area of a cone with slant height 14 cm is 132 cm2. a) Find the radius of the cone, to the nearest cm. b) Find the height of the cone, to the nearest cm. 4 U7 L3 SA of Cones completed.notebook March 11, 2015 one is 8 cm and the height of the pylon is 31 cm. If only the p 5 U7 L3 SA of Cones completed.notebook March 11, 2015 Practice: pg. 447-449 #2-7, 8, 10, 13 6