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Geometry Formulas for Calculating Volume and Surface Area

Learn how to find the volume of shapes such as prisms, cylinders, pyramids, cones, and spheres using specific formulas with detailed examples. Additionally, explore calculating the surface area of spheres.

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Geometry Formulas for Calculating Volume and Surface Area

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  1. Describe how to find the volume of a prism. Give at least 3 examples. Describe how to find the volume of a cylinder. Give at least 3 examples. Describe how to find the volume of a pyramid. Give at least 3 examples. Describe how to find the volume of a cone. Give at least 3 examples. Describe how to find the surface area of a sphere. Give at least 3 examples. Describe how to find the volume of a sphere. Give at least 3 examples.

  2. Describe how to find the volume of a prism. Give at least 3 examples. You use this formula to find the volume: (area of cross-section)  x height 15*7=105

  3. 33*11= 363

  4. 40*18= 720

  5. Describe how to find the volume of a cylinder. Give at least 3 examples. By using one of this formulas you can get the volume of a cylinder: V = BH or V = π r²h 16*9=144 π(cubed)

  6. 36*12= 432 π(cubed)

  7. 25*19= 475 π(cubed)

  8. Describe how to find the volume of a pyramid. Give at least 3 examples. Using the formula given, you can find the volume of a pyramid 1/3Bh

  9. Height 6 Base 6 1/3*6*3= 6

  10. Height 7 Base 3 1/3*3*7=7

  11. Describe how to find the volume of a cone. Give at least 3 examples. You can find the volume of a cone by using the formula below: V= 1/3pi *r (squared)*h

  12. 1/3pi*256*4= 341.33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333…π H=4 R=16

  13. 1/3pi*9*5= 15π = 5 =3

  14. Describe how to find the surface area of a sphere. Give at least 3 examples. Describe how to find the volume of a sphere. Give at least 3 examples. You can find the surface area of a sphere by plugging numbers to this equation: V= 4/3 pi (r) cubed Youcanfindthe volume of a spherebythisequation: V= 4/3 pi (r) cubed.

  15. V= 4/3 pi (r) cubed R=5 R=3 4/3pi 27= 36π 4/3pi 125= 166.4π R=4 4/3 pi 64= 82.2π

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