Geometry 20/21 March 2013 Warm Up A sphere has a surface area of 16π cm 2. The volume of the sphere is: a. 8π/3 cm 3 b. 32π/3 cm 3 c. 64π/3 cm 3 d. 256π/3.

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Presentation transcript:

Geometry 20/21 March 2013 Warm Up A sphere has a surface area of 16π cm 2. The volume of the sphere is: a. 8π/3 cm 3 b. 32π/3 cm 3 c. 64π/3 cm 3 d. 256π/3 cm 3

objective Students will apply the formulas for volume and surface area of a sphere to solve problems. Students will take notes, do problems using think-pair-share and present their work to the class.

Surface Area In general, SA = A base(s) + A sides SA = A base(s) + A sides SA prisms = A bases + PH where P = perimeter and H = height of prism where P = perimeter and H = height of prism Sa cone = πr 2 + πrl where l is slant height

Volume Formulas Prism/Cylinder Cone/pyramid (pointy things) (pointy things) Sphere Surface area of a Sphere

Volume applications: If the ice cream formed a sphere with radius of 8 cm, and the 5 inch high cone was filled with ice cream, what is the total volume of ice cream in this tasty dessert?

A dump truck is unloading sand which is falling into a conical pile. Find the height of the cone when the diameter of the pile is 24 ft and the volume of the sand is 600 cubic feet. Round your answer to nearest tenth.

practice 1) Page 466: 1 – 8 SA and VOLUME Odd Tables: #9 Even Tables: #10 2) page 559: 1 – 5 SA and VOLUME 3) Find the Vol and SA of a regular hexagonal pyramid with height 8 cm, 6 cm sides. Be ready to share your work with the class. Debrief What do you need to study for the test? What is easy? What is still confusing?