Given:
• Diameter of the cone, d = 2.5 inches
,
• Height of cone, h = 5 inches
Let's find the volume of the ice cream in the cone.
To find the volume of the cone, apply the formula:
[tex]V=\pi(\frac{d}{2})^2\times\frac{h}{3}[/tex]
Where:
d is the diameter = 2.5 inches
h is the height = 5 inches
Thus, we have:
[tex]\begin{gathered} V=\pi(\frac{2.5}{2})^2\times\frac{5}{3} \\ \\ V=\pi(1.25)^2\times\frac{5}{3} \\ \\ V=\frac{\pi\times1.5625\times5}{3} \\ \\ V=\frac{7.8125\pi}{3} \\ \\ V=2.60\pi\text{ cubic inches} \end{gathered}[/tex]
Therefore, the approximate volume of the icecream in the cone is 2.60 π cubic inches.
ANSWER:
2.60 π cubic inches.