Question

The picture above is of an ice cream cone. What is the volume of the ice cream? Round answer to 4decimal places

Answer 1

Given the image of the ice cream cone.

The image is a combination of a cone and a hemisphere.

The volume of the ice cream is the sum of the volume of the cone and the hemisphere.

From the figure, it is clear that the radius of the cone and the hemisphere is 6 in and the height of the cone is 17 in.

The volume of the ice cream is:

`\begin{gathered} V=(1)/(3)\pi r^2h+(2)/(3)\pi r^3 \\ =(1)/(3)*(22)/(7)*6*6*17+(2)/(3)*(22)/(7)*6*6*6 \\ =(13464)/(21)+(9504)/(21) \\ =(22968)/(21) \\ =1093.7143 \end{gathered}`

Thus, the volume of the ice cream is 1093.7143 in^3.