Question

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

Answer 1

75m^3

Explanation:

`\hookrightarrow \: volume = 1766250 {m}^(2)`

As we have,

`\hookrightarrow \: volume = (4)/(3) \pi {r}^(3)`

Now,

`\hookrightarrow \: 1766250 {m}^(3) = (4)/(3) * 3.14 * {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)`