Seudónimo Seudónimo
  • 23-03-2022
  • Mathematics
contestada

The volume of a sphere is 1,766,250 cubic meters. What is the radius of the sphere? Use 3.14 to approximate pi.

Respuesta :

Nepalieducation
Nepalieducation Nepalieducation
  • 23-03-2022

Answer:

75m^3

Step-by-step explanation:

[tex]\hookrightarrow \: volume = 1766250 {m}^{2} [/tex]

As we have,

[tex]\hookrightarrow \: volume = \frac{4}{3} \pi {r}^{3} [/tex]

Now,

[tex]\hookrightarrow \: 1766250 {m}^{3} = \frac{4}{3} \times 3.14 \times {r}^{ 3} \\ \hookrightarrow \: 5298750 {m}^{3} = 12.56 {r}^{3} \\ \hookrightarrow \frac{5298750 {m}^{3} }{12.56} = {r}^{3} \\ \hookrightarrow {r}^{3} = 421875 {m}^{3} \\ \hookrightarrow r = \sqrt[3]{421875 {m}^{3} } \\ \hookrightarrow 75 {m}^{3} [/tex]

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