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Sagot :
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
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