Answer: [tex]2143.6\ in.^3[/tex]
Step-by-step explanation:
Given: The diameter of a large lawn ornament in the shape of a sphere = 16 inches.
Then, the radius of ornament =[tex]\frac{16}{2}=8[/tex] inches.
We know that the volume of a sphere is given by :-
[tex]\text{Volume}=\frac{4}{3}\pi r^3[/tex], where r is the radius of a sphere.
Now, the volume of the ornament is given by :-
[tex]\text{Volume}=\frac{4}{3}(3.14) (8)^3\\\\\Rightarrow\text{Volume}=\frac{4}{3}\times3.14\times512=2143.57333333\approx2143.6\ in,^3[/tex]
Hence, the approximate volume of the ornament [tex]=2143.6\ in.^3[/tex]
