Question

PLEASE HELP ME, ASAPWILL FAN AND MEDAL
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use π = 3.14.

What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.

Answer 1

Vcone=(1/3)hpir^2
Vcylinder=hpir^3

sub
d/2=r=8/2=4

Vcone=(1/3)18pi8^2
Vcylinder=3pi8^2

Vcone=6pi64
Vcylinder=3pi64

Vcone=384pi
Vcylinder=192pi

compare them
384pi is twic the volume of 192pi
the volume of the cone is twice the volume of the cylinder