Question

the rectangular prism on the left was full of water. Then water was poured in the right cylindrical container so that the heights of water in both containers are equal.

Answer 1

Answer: The height of water in both container is 7.2 cm

Step by step explanation:

The volume of water in the rectangular prism in the left is given by

2 × 4 × 10 = 80 cm3

The volume of water in the middle rectangular prism in given by

2 × 4 × h = 8 h

The volume of water in cylinder on the right is given by

Pi × (1)2 × h = Pi × h , Pi = 3.14

Since all water in the container on the left is poured in both containers on the right, then

80 cm3 = 8 h + Pi × h

Solve to find h

h = 80 / (8 + Pi)

h = 7.2 cm (rounded to the nearest tenth of a cm6