a cylindrical container with an 8 in. diameter and an 2 in. height is completely filled with water. all of its contents are poured into another cylindrical container that is 32 in. tall. if the water completely fills the second container, the second container's diameter is ___ in.

Respuesta :

Volume of a cylinder: π r^2 h

Where:

r = radius

h= height

Calculate the volume of the first cylindrical container:

radius = diameter/2

Volume = π (8/2)^2 (2) = 100.5 in3

Second container

Volume = 100.5

heigth = 32 in

100.5 = π r^2 32

Solve for r

100.5/ (π 32 ) = r^2

1 = r^2

√1 = r

r=1

Diameter = 2 r = 2 (1) = 2 in