Answer:
inches or approximately 5.97 inches
Explanation:
Use the cone volume formula: V =
r²

The diameter is 8 inches, so the radius will be 4 inches.
Plug in the radius and volume, and solve for h
V =
r²

100 =
(4²)(
)
100 = 16


Divide each side by 16

=

Cross multiply and solve for h:
4
h = 75
h =

So, the cone's height is
or approximately 5.97 inches