Question

The diameter of a planet is 1880 mi. Find the volume of the planet. Use 3.14 for pi

The volume is ?

(Simplify your answer Round to the nearest thousand as needed.)

Answer 1

The volume of planet is 3477.378347 ×
`10^(6)` mi³

Explanation:

Given as :

The diameter of a planet = 1880 mi

So, the radius of planet =
`(\textrm Diameter)/(2)`

i.e radius =
`(1880)/(2)` = 940 mi

Let The volume of planet = V mi³

Since The shape of planet is similar to the shape of sphere

So, The volume of sphere = The volume of planet =
`(4)/(3) \pi` r³

where r is the radius of sphere

and value of
`\pi` is 3.14

∴ The volume of planet =
`(4)/(3) \pi` r³

Or, The volume of planet =
`(4)/(3) × 3.14 × (940)³</p><p>or, The volume of planet = [tex](4)/(3) × 3.14 × 830584000 </p><p>Or, The volume of planet = 3477378347 mi³</p><p>I.e The volume of planet = 3477.378347 × [tex]10^(6)` mi³

Hence The volume of planet is 3477.378347 ×
`10^(6)` mi³ Answer