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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.
1/3π (x - 7)2 (x - 3)

What does the factor π(x - 7)2 (x - 3) represent?

Question

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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.
 1/3π (x - 7)2 (x - 3)

What does the factor π(x - 7)2 (x - 3) represent?

imstuck · Answer

The (x-7)^2 is the radius measure and the (x-3) is the height.

ibbutibbu. · Answer

Thank you!

ibbutibbu. · Answer

Wait...

imstuck · Answer

Volume of a cone formula is this:$$V=\frac{ 1 }{ 3 }\pi (r)^{2}h$$

ibbutibbu. · Answer

But the choices are 

        -The volume of 3 of the same cone-shaped tanks
	-The area of the curved sides of the tank
	-The volume of 6 of the same cone-shaped tanks
	-The area of the base of the tank

imstuck · Answer

That would be the first choice you have there.

imstuck · Answer

The 3 from the solution gets multiplied by the 1/3 to cancel out, leaving you with only pi.  Like this:

imstuck · Answer

$$3(\frac{ 1 }{ 3 })\pi r ^{2} h$$The 3's cancel out, leaving you with just$$\pi r ^{2} h$$

imstuck · Answer

get it?

ibbutibbu. · Answer

Yes, i think so. Than you!

imstuck · Answer

They tell you what the height and the radius are in the problem:
height is (x-3)
radius is 4 less than that: (x-3)-4=x-7
In the formula, the radius is squared and multiplied by pi and the height.  See?

imstuck · Answer

Take 3 of those volume measurements and the 1/3 is gone.