1. LESSON Today: Quiz Corrections 12.6 Instruction Homework Review tomorrow Quiz Monday Warm- Up

2. LESSON 12.6 Surface Areas and Volumes of Spheres Objective: 1.Find surface areas of spheres. 2.Find volumes of spheres. Vocabulary: great circle, pole, hemisphere

3. LESSON sphere – A solid that is bounded by a surface consisting of all points at a given distance from a point constituting its center. A sphere has no lateral edges therefore no lateral area. poles – the endpoints of a diameter of a sphere great circle – the circle that is the cross section of a plane intersects a sphere at the center of the sphere. S sphere = 4r 2 where r is the sphere’s radius r

4. LESSON Find the surface area of a sphere with a diameter of 22 garretts. 484 g 2 If the total area of a sphere is 100, find the radius. 5 u A hemisphere is on top of a cylinder which is on top of a cone. Find to the nearest cm 2 the total surface area if the heights and radii of all three are 12 cm. 2449 cm 2

5. LESSON The volume of a sphere is equal to four thirds of the product of π and cube of the radius. where r is the radius of the sphere. r

6. LESSON Find the volume of sphere with a radius of 3 falanges. V = 36π f 3 Find the volume to nearest tenth of a cubic foot of a sphere if the circumference of the great circle is 10  feet. V ≈ 523.6 ft 3

7. LESSON The ideal ball will usually have between 380 and 432 dimples. These dimples are a half sphere with a diameter of.16”. If this golf ball has 400 dimples and a diameter of 1.68”, find the volume of the ball to the nearest thousandths of a cubic inch. 2.054 in 3

8. LESSON Assignment Due tomorrow: 12.6 P. 884 #11-27 odd, 29-37, 45 – you must show work including formulas! Quiz 12.4-6 on Monday