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

Question

asked May 26, 2020 53.7k views

1 Answer

Denis Pshenov · Answer 1 · 2020-05-31T10:16:08+0000

Answer:

The height of the cone is
$17\ in$

Explanation:

we know that

The volume of a cone is equal to

$V=(1)/(3)\pi r^(2)h$

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=(1)/(3)(3.14)(6)^(2)h

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