Question

A cone with a diameter of 12 inches has a volume of 640.88 cubic inches. find the height of the cone

Answer 1

Answer:

The height of the cone is $17\ in$

Step-by-step explanation:

we know that

The volume of a cone is equal to

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

In this problem we have

$r=12/2=6\ in$ ----> the radius is half the diameter

$V=640.88\ in^{3}$

assume $\pi=3.14$

substitute the values and solve for h

$640.88=\frac{1}{3}(3.14)(6)^{2}h$

$h=640.88*3/((3.14)(36))=17\ in$