Find the height of a cone when its diameter is 8 inches and the volume is 100 cubic inches

inches or approximately 5.97 inches  

Step-by-step 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:

4h = 75

h =

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