The paper around a snow cone has a slant height of 6 inches and a diameter of 3 inches. About how many square inches of paper are needed to make a...

This question is asking us to calculate the lateral area of a cone. The lateral area of a cone (L) can be found using the following formula:

 

where r is the radius of the cone and l is the slant height of the cone. We are told to use 3.14 to approximate pi ().

We are told our cone has a diameter (D) of 3 inches and a slant height of 6 inches....

This question is asking us to calculate the lateral area of a cone. The lateral area of a cone (L) can be found using the following formula:

 

where r is the radius of the cone and l is the slant height of the cone. We are told to use 3.14 to approximate pi ().

We are told our cone has a diameter (D) of 3 inches and a slant height of 6 inches. Diameter is defined as twice the radius.

 

So we can calculate the radius of our cone as follows:

 in

Now that we know the radius is 1.5 inches, we can calculate the lateral area:

 in^2 

The lateral area of the cone is 9.42 square inches. So, in order to make a paper snow cone cup, you will need approximately 9.42 square inches of paper.