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How do you find the volume of a cone?

How do you find the volume of a cone?. For example: A cone with height 9 cm and radius 2cm. h=9cm. r=2cm. In this lesson you will learn how to develop and apply the formula for volume of a cone by comparing cones to cylinders. Cylinder Volume = Base x height V = r 2 h . h.

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How do you find the volume of a cone?

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  1. How do you find the volume of a cone? For example: A cone with height 9cm and radius 2cm h=9cm r=2cm

  2. In this lesson you will learn how to develop and apply the formula for volume of a cone by comparing cones to cylinders.

  3. Cylinder Volume = Base x height V = r2h h B

  4. Cylinder: V = r2h Cone: V= ??? h B = r2

  5. It takes 3 cones to fill one cylinder with the same radius and heightas the cone

  6. Volume of Cone = Volume of Cylinder V = r2h

  7. V = r2h h=9cm V = 2 x9cm V = 123 r=2cm

  8. V = r2h V = x 6cm V = cm3 r2h V = 8 cm3 h=6cm r=2cm

  9. In this lesson you learned how to develop and apply the formula for volume of a cone by comparing cones to cylinders.

  10. Find the volume of the cone. V = r2h h=10cm V = 2 x10cm V = 303 r=3cm

  11. Find the volume of the cone. d=8cm so r=4cm d=8cm V = r2h V = 2x 12cm V = 64 cm3 h=12cm

  12. Research and explain how the formula for the volume of a cone can be derived without using calculus.

  13. Use measurement and geometrical shapes to demonstrate the relationship between the volume of a cone and volume of a similar cylinder. • Record your measurements and calculate the percent error in your measurements assuming the actual relationship is • Vcone=

  14. Demonstrate, using cones and cylinders with similar dimensions, that the volume of a cone is one-third the volume of a cylinder.

  15. 1. Find the volume of a con with height 15cm and radius 5cm 2. Find the volume of a cone with height 10cm and radius 3cm

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