To make an ice cream cone, employees at an ice cream shop completely fill the cone and then add one scoop of ice cream on top. The cone has a height of 6 in. and a diameter of 238 in. To the nearest cubic inch, how much ice cream is in the cone before the scoop is added on the top?

Respuesta :

that's a really wonky cone you got there. The answer is 88931 cubic inches.

Answer:

[tex]88931.08 inches^2[/tex]  

Step-by-step explanation:

Height of cone = 6 inches

Diameter of cone = 238 inches

Radius = [tex]\frac{Diameter}{2} =\frac{238}{2}=119 inches[/tex]

Now we are given that employees at an ice cream shop completely fill the cone and then add one scoop of ice cream on top.

Now we are supposed to find how much ice cream is in the cone before the scoop is added on the top

So, volume of cone is the quantity of ice cream is in the cone.

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

                            = [tex]\frac{1}{3}\times 3.14\times (119)^2 \times 6[/tex]  

                            = [tex]88931.08 inches^2[/tex]  

Thus [tex]88931.08 inches^2[/tex]  ice cream is in the cone before the scoop is added on the top