Question

A rectangular container that measures 2 cm x 11 cm x 20 cm is completely filled with water. The water is then poured into a hollow cylindrical container of base radius 5 cm.

What is the height of water in the cylindrical container?

A. 28/5 cm

B. 14 cm

c. 184/5 cm

D. 88 cm

Answer 1

Answer:The volume of a rectangular container is

V = L X B X H, while the volume of the Cylindrical container is

V = pie( r^2)h where ( pie = 3.142 )

Volume of the rectangle = 2 x 11 x 20

= 440cm^3

Now to find the height of the cylinder we now equate the volume of the rectangle with that of the cylinder and make h the subject of the formula

440 = pie(r^2)h

= 3.142 x 5^2 x h

= 3.142 x 25 X h

=78.55h

440 = 78.55h

h. = 440/78.55

= 5.6cm

Explanation:

Answer 2

14cm

Explanation:

formula of a rectangular container is LBH and we were given that LBH is 2*11*20 which is equal to 440cm.

Now when the water is transferred into a hollow cylindrical container.the formula for that is 2pierh.440=2*22/7*5*h

440*7=220h

3080=220h

h=14cm