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How Do You Find the Volume of a Cone?

Find the volume of the cone pictured in the diagram.

Summary

  1. The volume of a cone is one third the area of the base, B, times the height
  2. The base is a cone is always a circle, so let's use the area of a circle for B
  3. r stands for the radius, 4mm
  4. h stands for the height, 12mm

Notes

    1. The formula for the volume of a cone is V=(1/3)Bh
    2. B is the area of the base
    3. h is the height of the cone
    1. The area of a circle is πr2
    1. r is a variable standing for the radius, which is 4mm
    2. h is a variable standing for the height, which is 12mm
    3. Pi or π is an irrational number that we can approximate to be 3.14
    1. We can follow the order of operations to solve for the volume
    1. We always do the exponents first, 42 is 16
    2. Then we do what's inside the parentheses next: 3.14 times 16 is 50.24
    3. Then we can perform the rest of the multiplication
    4. Multiplying by 1/3 is the same as dividing by 3
    5. 602.88 divided by 3 is 200.96