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?
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