MATH SOLVE

5 months ago

Q:
# The diameter of a planet is 1880 mi. Find the volume of the planet. Use 3.14 for piThe volume is ? (Simplify your answer Round to the nearest thousand as needed.)

Accepted Solution

A:

Answer:The volume of planet is 3477.378347 × [tex]10^{6}[/tex] mi³ Step-by-step explanation:Given as :The diameter of a planet = 1880 miSo, the radius of planet = [tex]\dfrac{\textrm Diameter}{2}[/tex]i.e radius = [tex]\frac{1880}{2}[/tex] = 940 miLet The volume of planet = V mi³Since The shape of planet is similar to the shape of sphereSo, The volume of sphere = The volume of planet = [tex]\frac{4}{3} \pi[/tex] r³ where r is the radius of sphereand value of [tex]\pi[/tex] is 3.14∴ The volume of planet = [tex]\frac{4}{3} \pi[/tex] r³ Or, The volume of planet = [tex]\frac{4}{3} × 3.14 × (940)³or, The volume of planet = [tex]\frac{4}{3} × 3.14 × 830584000 Or, The volume of planet = 3477378347 mi³I.e The volume of planet = 3477.378347 × [tex]10^{6}[/tex] mi³ Hence The volume of planet is 3477.378347 × [tex]10^{6}[/tex] mi³ Answer