We have been given that a snow cone cup at the County Fair is 15 cm tall and has a diameter of 8 cm. We are asked to find the volume of the cup.
We will use volume of cone formula to solve our given problem.
[tex]V=\frac{\pi r^2h}{3}[/tex], where,
h = Height of cone,
r = Radius of cone.
We know that radius is half the diameter, so radius of given cone would be half of 8 cm that is [tex]\frac{8}{2}=4[/tex] cm.
Upon substituting our given values in above formula, we will get:
[tex]V=\frac{3.14\times (\text{4 cm})^2\times \text{ 15 cm}}{3}[/tex]
[tex]V=3.14\times 16 \text{ cm}^2\times \text{5 cm}[/tex]
[tex]V=251.2\text{ cm}^3[/tex]
Therefore, the volume of cup is 251.2 cubic cm.
