We have been given Barney wanted to find the amount of ice-cream in one scoop with radius of 2 inches.
To find the amount of ice-cream in one scoop of ice-cream, we will find the volume of scoop using volume of sphere formula.
[tex]V=\frac{4}{3}\pi r^3[/tex], where r represents radius of sphere.
Upon substituting our given values in above formula, we will get:
[tex]V=\frac{4}{3}(3.14)(\text{ 2 in})^3[/tex]
[tex]V=\frac{12.56}{3}(8\text{ in}^3)[/tex]
[tex]V=\frac{100.48}{3}\text{ in}^3[/tex]
[tex]V=33.49333\text{ in}^3[/tex]
Upon rounding to nearest tenth, we will get:
[tex]V\approx 33.5\text{ in}^3[/tex]
Therefore, Barney got approximately 33.5 cubic inches of ice-cream.
