An ice cream cone has a diameter of 3 inches.The distance from the top of the cone to the point at the bottom (height) is 5 inches how many cubic inches of ice cream will the cone hold?

Respuesta :

Answer:

11.781 cubic inches (round accordingly)

Step-by-step explanation:

The formula for the volume of a cone is:

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

where r is the radius and h is the height.

For our ice cream cone:

d = 3 inches

r = 1.5 inches (the radius is half of the diameter)

h= 5 inches

So all we have to do is plug in our values and solve for the volume:

[tex]\frac{1}{3}\pi (1.5)^{2}(5) = 11.781[/tex]

So our final answer is around 11.8 cubic inches.