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**Mathematical Formulas for Geometry: Volumes and Surface Areas**

Learn how to find volumes and surface areas of various geometric shapes - prisms, cylinders, pyramids, cones, and spheres - with detailed formulas and example calculations.

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**Mathematical Formulas for Geometry: Volumes and Surface Areas**

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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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