A sphere has a radius of 3 inches. What is the volume of the sphere rounded to the nearest tenth? Use 3.14 for pi. 28.3 in³ 88.7 in³ 113.0 in³ 211.3 in³

Respuesta :

ANSWER

The volume of the sphere is [tex]113.0in^3[/tex].


EXPLANATION

The volume of a sphere is calculated using the formula;

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


We were given in the question that the radius is [tex]3[/tex] inches. Therefore we substitute [tex]r=3[/tex] in to the formula for finding the volume to obtain;

[tex]Volume=\frac{4}{3}(3.14) (3)^3[/tex]


[tex]\Rightarrow Volume=\frac{4}{3}(3.14) (27)[/tex].


[tex]\Rightarrow Volume=4\times (3.14) (9)[/tex]


[tex]\Rightarrow Volume=113.04[/tex]


Rounding to the nearest tenth means we should round to one decimal place. This will give us;

[tex]Volume=113.0in^3[/tex]







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