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grandymaker [24]
3 years ago
15

I need help with this one.​

Mathematics
1 answer:
nexus9112 [7]3 years ago
5 0

9514 1404 393

Answer:

  1. 1,563.5 in³
  2. 904.8 yd³
  3. 2,144.7 mm³
  4. 1,288.2 cm³
  5. 434.9 in³

Step-by-step explanation:

The formula for the volume of a sphere is ...

  V = (4/3)πr³

When you have several of these calculations to do, it is convenient to let a graphing calculator or spreadsheet do them. A spreadsheet can do the rounding for you, too. The results are attached. The units are the cube of the units of the radius.

<u><em>Example calculation</em></u>:

  (4) Radius = diameter/2 = 13.5 cm/2 = 6.75 cm

  V = (4/3)π(6.75 cm)³ = 4.18879 × 307.547 cm³ = 1288.2 cm³

Note that the constant (4/3)π ≈ 4.18879 remains the same for each calculation. All you need to do is multiply that by the cube of the radius.

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