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A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 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.

Verified Answer :

Cone:
V=(3.14)(4)2(18)(1/3)

Cylinder:
V=(3.14)(4)2(3)

apologiabiology

vcylinder=hpir^2
d/2=r
8/2=r=4
h=9
v=93.144^2
v=93.1416
v=452.16
that is cylinder

vcone=1/3(hpir^2)
vcone=1/3(93.144^2)
Vcone=33.1416
Vcone=159.72

relationship betweeen 452.16 and 159.72
452.16/159.72=3/1

the volume of a cylinder is 3 times that of a cone (with same dimensions), aka
the volume of a cone is 1/3 of that of a cylinder (with same dimensions)

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