Question

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?
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Answer 1

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

Answer 2

yeah

Answer 3

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?

Answer 4

Did you understand ?

Answer 5

u have to make a ratio, right?

Answer 6

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

Answer 7

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?

Answer 8

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

Answer 9

cross multiply?

Answer 10

yes

Answer 11

okay, hold on

Answer 12

12.8?

Answer 13

wait... its 20

Answer 14

Look,

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

Answer 15

so, then i multiply 20 by height?

Answer 16

@Faris_Waleed

Answer 17

@AccessDenied

Answer 18

Yes you use the cylinder formula to calculate its volume

Answer 19

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

Answer 20

@CliffSedge

Answer 21

What is the radius of the large pipe?