Acylinder 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.

The volume of the cylinder is 3/2 the volumen of the cone.

Step-by-step explanation:

The volume V of a cone with radius r is: (πr^2h)/3

The volume V of a cylinder with radius r is: πr^2h

If the diameter of both, the cylinder and the cone, is the same, the radius is the same too.

The radius is 1/2 the diameter.

d= 8 in

r= 8 in/2= 4 in

The height of the cylinder is 9 inches. The height of the cone is 18 inches.

We calculate the volume of each solid with the formulas mentioned before, using π = 3.14

V of the cone= (3.14)(4 in)(4 in)(18 in)/3 in= 301.44 in^3

V of the cylinder= (3.14)(4 in)(4 in)(9 in)= 452.16 in^3

Now, to calculate the relationship between the volume of this cylinder and this cone we compare them through a division.

452.16 in^3/ 301.44 in^3= 1.5 = 3/2

That means the volume of the cylinder is 3/2 the volume of the cone:

(301.44 in^3)(3/2)= 452.16in^3

18

step-by-step explanation:

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step-by-step explanation: