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

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

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,

$301.5=\frac{1}{3}\times \frac{22}{7}\times (4)^2\times h$

$h=\frac{301.5\times 3\times 7}{22\times 16}$

$h=17.98$

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