Question

A lab assistant has two containers. One container is a rectangular prism with width 2cm, length 4cm and height 10cm. The other is a right cylinder with radius 1 cm and height 10cm. Both containers are rested on a flat surface. Water has been poured into the two containers so that the height of the water in both the containers is the same. If the combined volume of the water in the two containers is 80 cm3 , then the height of the water in each container is closest to: 1) 6.8 cm 2) 7.8 cm 3) 8.6 cm 4) 7.2 cm

Answer 1

Answer:

Option 4. - 7.2 cm

Step-by-step explanation:

The base area of the rectangular prism container $= 8 cm^2$

The base area of the cylindrical container $= \frac{22}{7} *1^2 = 3.14 cm^2$

Now let the height of water in both the container = h

Therefore volume of water in rectangular container $= 8h cm^3$

Therefore volume of water in cylindrical container$= 3.14h cm^3$

Total volume $=h*(8+3.14)cm^3 = h*11.14 cm^3 = 80 cm^3$

The height $= h = \frac{80}{11.14} cm = 7.18 cm = 7.2 cm (Approx.)$

Therefore the option 4) 7.2 cm is the correct answer