anonymous79935 anonymous79935
  • 24-04-2020
  • Mathematics
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A sphere has a diameter of 4 x 10^-3 mm. What is the approximate volume of the sphere? Use 3.14 for pi.

A sphere has a diameter of 4 x 103 mm What is the approximate volume of the sphere Use 314 for pi class=

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Hrishii
Hrishii Hrishii
  • 24-04-2020

Answer:

[tex] 3.349 \times {10}^{ - 10} \: {mm}^{3} [/tex]

Step-by-step explanation:

[tex]d = 4 \times {10}^{ - 3} \: mm \\ r = 2 \times {10}^{ - 3} \: mm \\ V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {(2 \times {10}^{ - 3} )}^{3} \\ = \frac{4}{3} \times 3.14 \times 8\times {10}^{ - 9} \\ = \frac{100.48}{3} \times {10}^{ - 9} \\ = 33.4933333\times {10}^{ - 9} \\ = 33.49 \times {10}^{ - 9} \\ = 3.349 \times {10}^{ - 10} \: {mm}^{3} [/tex]

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