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Take a calculator. Compare and contrast pyramids and prisms. Include volume in your comparison.

Learn the formulas for surface area and volume of spheres, apply problem-solving skills, and discover the great circle concept in a step-by-step journey through calculations and practice exercises.

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Take a calculator. Compare and contrast pyramids and prisms. Include volume in your comparison.

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  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. SPHERES Surface area and volume

  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.

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