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Find the volume of the sphere. Use 3.14 for π. Round to the nearest tenth.


Question 3 options:


A. 3,589.5 m3


B. 2,692.2 m3


C. 897.4 m3


D. 377.8 m3

Find the volume of the sphere Use 314 for π Round to the nearest tenthQuestion 3 optionsA 35895 m3B 26922 m3C 8974 m3D 3778 m3 class=

Respuesta :

Answer:

[tex]3589.5\ m^{3}[/tex]

Step-by-step explanation:

Given:

A sphere with diameter = 19 m

Radius of the sphere = [tex]\frac{19}{2}=9.5\ m[/tex]

Formula for volume of a sphere:

[tex]V=\frac{4}{3}\times\pi \times r^{3}[/tex]

[tex]V=\frac{4}{3}\times\pi\times(9.5)^{3}[/tex]

[tex]V=3589.5\ m^{3}[/tex]

(After rounding off to nearest tenth)

Answer : The correct option is, (A) [tex]3589.5m^3[/tex]

Step-by-step explanation :

Formula used to calculate the volume of sphere is:

[tex]V=\frac{4}{3}\pi r^3[/tex]

where,

V = volume of sphere = ?

r = radius of sphere = [tex]\frac{Diameter}{2}=\frac{19m}{2}=9.5m[/tex]

Now put all the given value in the above formula, we get:

[tex]V=\frac{4}{3}\pi r^3[/tex]

[tex]V=\frac{4}{3}\times 3.14\times (9.5)^3[/tex]

[tex]V=3589.5m^3[/tex]

Therefore, the volume of the sphere is, [tex]3589.5m^3[/tex]

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