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 pi = 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.

We can say that volume of cylinder (452.16) is greater than volume of cone (301.44).

Step-by-step explanation:

Diameter of cylinder = 8 inches

Diameter of cone = 8 inches

Height of cylinder = 9 inches

Height of cone = 18 inches

We need to find the relationship between the volume of this cylinder and this cone.

First we will find volume of the cylinder

The formula used is:

We have

Diameter of cylinder = 8 inches

Radius = d/2 = 8/2 = 4 inches.

Height of cylinder = 9 inches

Putting values and finding volume

So, Volume of cylinder = 452.16 inches³

Now, we will find volume of the cone

The formula used is:

We have

Diameter of cone = 8 inches

Radius = d/2 = 8/2 = 4 inches.

Height of cone = 9 inches

Putting values and finding volume

So, Volume of cone = 301.44 inches³

Now, comparing volume of both cylinder and cone.

Volume of cylinder = 452.16 inches³

Volume of cone = 301.44 inches³

We can say that volume of cylinder (452.16) is greater than volume of cone (301.44).

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;