The radius of a cone-shaped tank is 4 feet less than its height. If the height of the tank is (x - 3) feet, the expression below shows the volume of the tank.

1 over 3π (x - 7)2 (x - 3)

What does the factor (x - 7)2 represent?

Question

The radius of a cone-shaped tank is 4 feet less than its height. If the height of the tank is (x - 3) feet, the expression below shows the volume of the tank.

1 over 3π (x - 7)2 (x - 3)

What does the factor (x - 7)2 represent?

myininaya · Answer

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

myininaya · Answer

you see everything looks the same. It has that same form.
You can quickly identify the height and the radius here by comparing it to the volume formula of a cone.