Marcos sells snow cones in the summer. He uses a cone with a radius of 1.5 inches and a height of 5 inches. If he fills the snow cone to the rim with ice before pouring on the syrup. About how much ice will it take to fill the cone?​

Respuesta :

Answer: [tex]11.78\ in.^3[/tex]

Step-by-step explanation:

Given

Radius of cone [tex]r=1.5\ in.[/tex]

Height of cone [tex]h=5\ in.[/tex]

Ice required to fill the cone=Volume of cone

The volume of a cone is

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Put values

[tex]\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 1.5^2\times 5=11.78\ in.^3[/tex]