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Nataly [62]
3 years ago
11

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 inc

hes.
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.
Mathematics
1 answer:
mina [271]3 years ago
8 0

Vcylinder=\pi r^2 h

Vcone=\frac{1}{3} \pi r^2 h


if we compute the volumes

given that d=8 and height cylinder=3 and height cone=18

note that d/2=r so 8/2=4=r


Vcylidner=[/tex] \pi (4)^2* 3[/tex]=\pi (48)=150.72 cubic inches

Vcone=\frac{1}{3} \pi (4)^2 * 18=\pi (96)=301.44 cubic inches


hmm, if we divide the volume of the cone by thhe volume of the cylinder, we get 301.44/150.72=2


so the relationship is that the cylinder volume is 2 times that of the volume of the cone

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