1 / 11

Exploring Spheres: Area, Volume, and Surface Area Formulas

Learn about spheres, their surface area, volume, and how to find the area of circles within them. Practice problems included!

wentzel
Download Presentation

Exploring Spheres: Area, Volume, and Surface Area Formulas

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Geometry 12.4 Spheres

  2. Please add sphere to your vocab list

  3. Surface Area Formula Surface Area = What does this represent? It represents the area of a circle with radius = r. Does it seem like 4 of these blue circles would cover the sphere? The formula says “Yes!” Does this seem accurate? Let’s investigate. r

  4. Volume Formula Volume = A way to remember which formula is cubed… The volume formula has two 3’s and volume is measured in units3!!

  5. Try this one! 1. radius = 10 Area: _____ Volume: _____ Surface Area = Volume = = 4π(10)2 = 4π(100) = 400πunits2

  6. Let’s try #2! 2. area = 100π Volume: _____ Work backwards to find r!! Surface Area = Volume = 100π = 4πr2 25 = r2 r = 5

  7. Try this one! 3. radius = ¼ Area: _____ Volume: _____ Surface Area = Volume = = 4π(1/4)2 = 4π(1/16) = ¼ πunits2

  8. Push your desks together and solve #1-5!!! Change #3 (400 to 4000)

  9. 12π units2 4√3π units3 1. radius = Surface Area: _____ Volume: _____ 12 2304π units3 2. Area = 576π 10 400π units2 3. Volume =

  10. 10 3 4. Find the area of a circle formed when a plane passes 3 cm from the center of a sphere with radius 6 cm. 3√3 Area of the blue circle = 27π cm2 3 6 Volume = cylinder volume + ½ (sphere volume) = πr2h+ ½ (4/3 πr3) = π3210+ ½ (4/3 π33) = 90π+ 18π = 108πunits2

  11. HW • P. 500-501 CE (CE 7-9 all, WE 1-25 odd) Let’s do CE #7 together! • Sign up for summer school now if you need it or there may not be room for you!

More Related