Two similar pipes are shown.

The small pipe has a radius of 10 feet and a height of 22 feet while the large pipe has a height of 33 feet. What is the volume of the large pipe in terms of π?
Answer
2,200π ft3
2,475π ft3
4,500π ft3
7,425π ft3

Question

Two similar pipes are shown.
 

 
The small pipe has a radius of 10 feet and a height of 22 feet while the large pipe has a height of 33 feet. What is the volume of the large pipe in terms of π?
Answer
		2,200π ft3
		2,475π ft3
		4,500π ft3
		7,425π ft3

anonymous · Answer

attachment

anonymous · Answer

Volume of cylinder is
radius²π*height

anonymous · Answer

but what is the radius of the bugger cylinder?

anonymous · Answer

Since they are similar, the radius/height ratio are the same.

anonymous · Answer

so the radius of the bigger cylinder would be 22?

anonymous · Answer

No$$\frac{radius1}{height1}=\frac{radius2}{height2}$$

anonymous · Answer

What's $$\frac{radius1}{height1}$$?

anonymous · Answer

10/22

anonymous · Answer

Good, now$$radius2=\frac{10}{22}*height2$$, right? So just solve for radius2 :)

anonymous · Answer

idk how to do that though :o

anonymous · Answer

It's just simple multiplication. What is height2 (height of big pipe)?

anonymous · Answer

33

anonymous · Answer

Good. So what's (10/22)*height2? It's (10/22)*33 right? If you don't understand please tell.

anonymous · Answer

I guess, but then what do i do with those numbers just multiply?

anonymous · Answer

Yes. You can use a calculator.

anonymous · Answer

15?

anonymous · Answer

Correct! So, radius of big pipe is 15. Now use the formula I gave you at the beginning.

anonymous · Answer

oh wow that was simple! The answer is D, correct?

anonymous · Answer

Yep :)

anonymous · Answer

alright, thanks for your help!

anonymous · Answer

No problem :D