Question

Chanel ordered a box of cone-shaped tree decorations for the holidays. If she ordered a box of 5 trees with the dimensions shown below, how much space will the trees take up in the shipping box? Use 3.14 for pi.

Answer 1

Answer:

See Explanation

Step-by-step explanation:

The question has missing details; as the dimension of the cone is not given. I will give a general explanation on how to solve a question like this.

The space occupied implies that we calculate the volume of the cone.

The volume of 1 cone is:

$V_1 = \frac{1}{3}\pi r^2h$

Since there are 5 cone trees, the total amount of space is:

$V =5 * V_1$

$V = 5 * \frac{1}{3}\pi r^2h$

Assume the height and the radius of the cone tree are: 6cm and 7cm respectively.

The expression becomes

$V = 5 * \frac{1}{3} * 3.14 * 7^2 * 6$

$V = 1538.6cm^3$

Using the assumed dimensions, the amount of space occupied is $1538.6cm^3$