Question

a sorcerer's hat is shaped like a cone with a diameter of 8 inches and a volume of 301.6 cubic inches what is the height of the sorcerer's hat

Answer 1

The height of the sorcerer's hat is 17.98 inches.

Explanation:

Given : A sorcerer's hat is shaped like a cone with a diameter of 8 inches and a volume of 301.6 cubic inches.

To find : What is the height of the sorcerer's hat ?

Solution :

The volume of the cone is given by,
`V=(1)/(3)\pi r^2 h`

The diameter of cone is d=8 inches.

The radius of cone is r=4 inches.

The volume of cone is V=301.5 cubic inches.

Substitute the value,

`301.5=(1)/(3)* (22)/(7)* (4)^2* h`

`h=(301.5* 3* 7)/(22* 16)`

`h=17.98`

Therefore, the height of the sorcerer's hat is 17.98 inches.