Volume of Conics used in Geometry

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Volume of Conics used in Geometry

• Debbie Goodwin

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Cylinder

• Find the radius (r)
• Find the height (h)
• Substitute into formula V?r2h
• Example
• Find the volume of a soup can that has a radius
  of 2 inches and a height of 5 inches.
• Answer62.8 cubic inches

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Cone

• Find the radius (r)
• Find the height (h)
• Substitute into the formula V1/3 ?r2h
• Example
• Find the volume of an ice cream cone with a
  radius of 3 inches and a height of 7 inches.
• Answer66 cubic inches

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Sphere

• Find the radius (r)
• Substitute into the formula V4/3 ?r3
• Example
• Find the volume of a basketball with a radius of
  4 inches.
• Answer268.2 cubic inches

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Combination Conics

• Decide which conics are being used
• Find the volumes of each individual part
• Add the volumes together
• Example
• Find the volume of an ice cream cone (radius 2
  inches, height 5 inches) with two scoops of
  peppermint ice cream (radius 2 inches)
• Answer 88 cubic inches

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Conclusion

• When finding the volumes of conics remember
• Use the same units of measure
• Convert ? into a usable form, such as 22/7 or
  3.14
• Answers are in cubics