Answer:
The height of the sorcerer's hat is 17.98 inches.
Step-by-step 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, [tex]V=\frac{1}{3}\pi r^2 h[/tex]
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,
[tex]301.5=\frac{1}{3}\times \frac{22}{7}\times (4)^2\times h[/tex]
[tex]h=\frac{301.5\times 3\times 7}{22\times 16}[/tex]
[tex]h=17.98[/tex]
Therefore, the height of the sorcerer's hat is 17.98 inches.
