Container A and B are identical containers with the same base. Container A is filled to the brim with water while Container B is empty. After 240 cm3 of water is poured into container B from container A, the depth of water in container B is 1/4 the depth of water in container A. If the height of the container is 25 cm, what is the base area of container B?

Guest Jun 11, 2022

#1**+1 **

To make this easier, let's divide the height of each container into 5ths

When 240 cm^3 of water is poured into container B from A, the depth of the water in container A = (4/5) its height and the depth of the water in container B = 1/5 of its height......note that the depth of the water in B is 1/4 that of A

So......the depth of the water in B = (1/5) (25 cm) = 5cm and B contains 240cm^3 of water

So....finding the base area is easy (using the formula for the volume of a cylinder)

240 cm^3 = pi ( r^2) ( 5 cm)

240 cm^3 / 5 cm = pi * r^2

48cm^2 = pi * r^2 = the base area

CPhill Jun 11, 2022