Could you check this for me

Question

anonymous · Answer

Im pretty sure its C


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 π(x - 7)2 (x - 3) represent?

 The area of the base of the tank
 The area of the curved sides of the tank
 The volume of 3 of the same cone-shaped tanks
 The volume of 6 of the same cone-shaped tanks

anonymous · Answer

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 π (x - 7)^2  (x - 3)   represent?

 The area of the base of the tank
 The area of the curved sides of the tank
 The volume of 3 of the same cone-shaped tanks
 The volume of 6 of the same cone-shaped tanks

danjs · Answer

What is the formula for the volume of a cone?

anonymous · Answer

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 3pi (x - 7)^2 (x - 3)

What does the factor pi(x - 7)^2 (x - 3) represent?

 The area of the base of the tank
 The area of the curved sides of the tank
 The volume of 3 of the same cone-shaped tanks
 The volume of 6 of the same cone-shaped tanks

danjs · Answer

i got it, 3rd time is a charm

what is the formula for the volume of a cone?

anonymous · Answer

V=π r^2 h/3

anonymous · Answer

omg -.- all those question marks is pi

danjs · Answer

$$V = \frac{ 1 }{ 3 }*base*height$$

$$V = \frac{ 1 }{ 3 }*\pi r^2 *h$$

anonymous · Answer

Okay

danjs · Answer

Let's take it one sentence at a time...

The radius of the tank is 4 less than the height:

r = h - 4

got that part?

anonymous · Answer

Yes

danjs · Answer

r = h - 4
and
The height of the tank is (x-3)

r = (x-3) - 4

danjs · Answer

So the Volume is

$$V = \frac{ 1 }{ 3 } *\pi ( x-7)^2 * (x-3)$$

danjs · Answer

r = (x-3)-4  = x-7
h = x-3

danjs · Answer

you see how the volume is put together?

anonymous · Answer

Yes i understand

danjs · Answer

It is asking what does pi*(x-7)^2 *(x-3) represent.

danjs · Answer

what do you have to do to the volume formula , to get to that

danjs · Answer

Just re-pasting this down here...

The area of the base of the tank 
The area of the curved sides of the tank 
The volume of 3 of the same cone-shaped tanks 
The volume of 6 of the same cone-shaped tanks

anonymous · Answer

So it would be 3 tanks because the 1/3 would divide it so theres only one tank remaining? so it would be C?

danjs · Answer

right, you have to multiply the volume of that cone by 3 to get rid of the 1/3 term in front

anonymous · Answer

Okay i understand! Thank you so much!!!

danjs · Answer

no prob.. 

For the first answer,, "The area of the base"

That is just the area of a circle, it is the term pi*r^2  or pi*(x-7)^2

danjs · Answer

the second one is talking about an area, we have the formula for volume, it is a cubed term whereas the area will be a squared term