Question

15) A container with a rectangular base of length 4.4 m and breadth 2 m is used to collect rain water. The height of the water level in the container is 4 cm and water is transferred into a cylindrical vessel with radius 40 cm. What will be the height of the water level in the cylinder?

Answer 1

Answer:

70 cm

Step-by-step explanation:

Here Length and breadth of rectangular base = 4.4 m and 2 m

                                                        or 440 cm and 200 cm [∵1 m = 100 cm]

Height of water level in container = 4 cm

Radius of cylinder = 40 cm

Let height of the water level in cylinder be H

Since, same water is transferred into another cylindrical container

∴ Volume of water in rectangular container = volume of water in cylinder

Length × Breadth × Height of water level = π (radius)² × level in cylinder

440 × 200 × 4 = (22/7) × (40)² × H

H = (440 × 200 × 4 × 7) / (22 × 40 × 40)

H = 70 cm

∴ Water level in cylinder will be 70 cm