12-4 Spheres.

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Presentation transcript:

12-4 Spheres

Sphere 3-dimensional shape with no bases. Circle rotated around it’s diameter. (Ball) A = 4πr2 r V = 4/3πr3 r r Why no LA and TA? There are no bases: TA = LA + B

TOO Page 500 CLASSROOM Ex. #2 & 4 Answers: 2) A = 256π, V = (2048π)/3 4) r = 3, V = 36π

Example Find the area of the circle formed when a plane passes 7cm from the center of a sphere with radius 8. (It’s the SONG!!!!) 72 + r2 = 82 r r = √15 7 8 A = π(√15)2 A = 15π cm2

Example A scoop of ice cream with diameter 6 is placed in an ice cream cone with diameter 5 and height 12. Is the cone big enough to hold all the ice cream if it melts? What are we talking about? Volume! 3 12 V of Sphere 36π V of Cone 25π > 2.5 NO

Homework Page 500 #1-16, 19 (skip #9, 10, 15)