5) Kendall is making a cone shaped party hats for his birthday. Then, each hatwill be filled with candy. The height on each cone is 7.5 inches and theradius is 1.5 inches. If she has 12 friends coming, how many cubic incheswill he need to fill all 12 hats with candy?

Respuesta :

Explanation

In the question, we are given that,

[tex]\begin{gathered} height\text{ of cone = 7.5 inches} \\ radius\text{ of cone = 1.5 inches} \end{gathered}[/tex]

We will need to find the volume of the cone.

[tex]volume\text{ of a cone =}\pi r^2h[/tex]

Therefore, we will have;

[tex]V=\pi\times1.5^2\times7.5=53.0144[/tex]

So for 12 hats with candy, we will have;

[tex]12\times V=12\times53.0144=636.1728[/tex]

Answer: 636.1728 cubic inches