Surface area and volume of spheres

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Presentation transcript:

Surface area and volume of spheres Tuesday, Dec. 18 Surface area and volume of spheres

Agenda Check your skills Homework Check Surface area and volume of spheres Class Work Homework

Warm-Up Find the slant height of the pyramid. Find the surface area Find the Volume

Homework Check 2. 80 5. 162sqrt(3) 6. 22.5 9. 288pi 10. 40pi 6. 300 17. 180sqrt(3) 22. r=3

Sphere The set of all points in space equidistant from a given point (the center)

Great Circle The largest cross section of a sphere; shares the same radius and center as the sphere Ex: The Earth’s equator

Ex 1: Given the diameter or radius, find the SA and V of each sphere a. r= 14 b. d=12

Ex 2: Given the circumference of the great circle of the sphere, find the radius and Surface Area a. C=36pi b. C=52pi

Ex 3: Given the surface area of the sphere, find the Volume: a. SA = 845 in sq. B. SA=144pi m sq

Ex 4: Given the volume of the sphere, find the surface area a. V=288pi ft cubed b. 11494 cm cubed

Class Work Worksheet