Question

Two similar pipes are shown.



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?

Answer 1

24000 Π feet squared

Answer 2

Volume of the smaller cylinder is \[V _{1}=\pi r^2 h=\pi (256)(48)=12288 \pi ft^3\]The volume of the larger cylinder is \[V_2=(5/4)^3V_1=12288(125/64)=24000ft^3\]

Answer 3

Since the linear dimensions all increase by a factor of 5/4, the volume increases by a factor of (5/4)^3

Answer 4

thanks guys!