1. TO GET THROUGH THE HARDEST JOURNEY WE NEED TAKE ONLY ONE STEP AT A TIME, BUT WE MUST KEEP ON STEPPING. DO NOW Take a calculator. Compare and contrast pyramids and prisms. Include volume in your comparison. Find the volume of the pyramid below. What is the area of this circle?

2. SURFACE AREA AND VOLUME SPHERES

3. TODAY’S OBJECTIVES Discover the formula for the surface area of a sphere. Discover the formula for the volume of a sphere. Apply formulas to solve for surface area and volume. Use problem solving skills

4. VOCAB Great circle—the intersection of the sphere and a plane which passes through the center

5. SURFACE AREA OF A SPHERE Draw great circles on a sheet of paper by holding the orange still and tracing around it. If you peeled the orange and put all the peel in the circles you traced, how many circles do you think you would fill up? (Write down your guess.) How many circles did you actually fill with orange peel? What is the formula for surface area of a sphere?

6. FIND THE SURFACE AREA Practice.

7. FIND THE SURFACE AREA Practice.

8. VOLUME OF A SPHERE How would you find the volume of a sphere? To find volume, we can break up the sphere into smaller pieces.

9. VOLUME What is the formula for volume of a sphere?

10. FIND THE VOLUME Practice.

11. TODAY’S OBJECTIVES Discover the formula for the surface area of a sphere. Discover the formula for the volume of a sphere. Apply formulas to solve for surface area and volume. Use problem solving skills

12. EXIT SLIP Find the surface area and volume of the figure. Show your work AND explain your reasoning.