Answer:
[tex]2.3\:\mathrm{in^3},\\1.3\:\mathrm{fl\:oz}[/tex]
Step-by-step explanation:
The volume of a cone with radius [tex]r[/tex] and height [tex]h[/tex] is equal to [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex].
What we're given:
- Since radius is half the diameter, [tex]r[/tex] is [tex]1.1[/tex]
- Height of [tex]1.8[/tex]
Substituting given values, we get:
[tex]V=\frac{1}{3}\cdot 1.1^2\pi \cdot 1.8=0.726\pi\approx \boxed{2.3\:\mathrm{in^3}}[/tex]
Convert to fluid ounces using the conversion given in the question:
[tex]0.726\pi}\cdot \frac{0.554}{1}\approx \boxed{{1.3\:\mathrm{fl\:oz.}}}[/tex]
