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 inche

Question

4 years ago

11

s. What is the relationship between the volume of this cylinder and this cone?

1 answer:

sesenic [268] · Answer 1 · 2021-11-27T15:46:46+03:00

The volume of cone is double of the volume of cylinder.

Further explanation:

We have to find both volumes first to compare the volumes of both.

Volume of Cylinder:

Given

Diameter = d = 8 inches

$Radius=r=\frac{d}{2}=\frac{8}{2}=4\ inches$

Height of cylinder=h=3 inches

$V_{Cyl}=\pi r^2h\\=3.14*(4)^2*3\\=3.14*16*3\\=150.72\ in^3$

Volume of Cone:

Radius=r=4 inches

Height of cone= h= 18 inches

$V_{con}=\frac{1}{3}\pi r^2h\\=\frac{1}{3}*3.14*(4)^2*18\\=\frac{1}{3}*3.14*16*18\\=301.44\ in^3$

We can see that

$2V_{cyl}=V_{Con}$

The volume of cone is double of the volume of cylinder.

Keywords: Volume, Volume of cone

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