## Sunshine447 3 years ago The small pipe has a radius of 16 feet and a height of 48 feet while the large pipe has a height of 60 feet. What is the volume of the large pipe in terms of π? http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0806_04/image0034e847d9e.gif

1. Faris_Waleed

First of all you know that the formula for calculating the volume of a cylinder is: V=pi*r(square)*height

2. Sunshine447

yeah

3. Faris_Waleed

OK, you have the radius and height for the small pipe and the height for the large pipe but you don't have the radius you need in order to calculate the volume, understood till here now?

4. Faris_Waleed

Did you understand ?

5. Sunshine447

u have to make a ratio, right?

6. Faris_Waleed

Yes like this: Height in the small pipe / Height in the large pipe = Radius in the small pipe / Radius in the large pipe

7. Faris_Waleed

Height in the small pipe = 48 cm Height in the large pipe= 60 cm Radius in the small pipe = 16 cm Radius in the large pipe= xcm Understood till here now?

8. Faris_Waleed

Now solve for x which will give you the radius of the large pipe

9. Sunshine447

cross multiply?

10. Faris_Waleed

yes

11. Sunshine447

okay, hold on

12. Sunshine447

12.8?

13. Sunshine447

wait... its 20

14. Faris_Waleed

Look, 16/x = 48/60 16*60*48*x 960=48x x=960/48 x=20

15. Sunshine447

so, then i multiply 20 by height?

16. Sunshine447

@Faris_Waleed

17. Sunshine447

@AccessDenied

18. Faris_Waleed

Yes you use the cylinder formula to calculate its volume

19. Sunshine447

i got 1200..... but that's not a choice...

20. Sunshine447

@CliffSedge

21. CliffSedge

What is the radius of the large pipe?