Respuesta :

wegnerkolmp2741o

Answer:

2571.14 m^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The diameter is 17 so the radius is 1/2 of the diameter or 17/2 =8.5

V = 4/3 (3.14) (8.5)^3

 = 2571.13666

Rounding to the nearest hundredth

 = 2571.14 m^3

Answer:   2571.14

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Work Shown:

V = (4/3)*pi*r^3

V = (4/3)*3.14*(8.5)^3

V = 2571.13666666667 which is approximate

V = 2571.14

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Notes:

  • The units for the volume are in cubic meters, or m^3. Think of a 1 m by 1 m by 1 m block, the volume of which is 1*1*1 = 1 m^3.
  • The diameter is 17 meters, half of which is 17/2 = 8.5 meters. So the radius is r = 8.5
  • In the second to last line, the '6's go on forever. It's only due to rounding is why that '7' shows up.
  • The answer above is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate volume. However, your teacher wants you to use pi = 3.14