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A solid pyramid of height 40 cm with a square base of sides 30 cm each is put into a cynical tank of radius 40 cm. The tank is then filled with water. If the pyramid is removed, find the depth of the water in the tank.​

2 Answers

5 votes

The depth of the water in the tank after the pyramid is removed is 17.34 cm.

b) Supporting details:

To find the depth of the water, we need to consider the amount of water displaced by the pyramid. The weight of the water displaced by the pyramid is equal to the weight of the pyramid itself. When the pyramid is removed, the volume of water in the tank will decrease by the volume of water displaced by the pyramid. Using the formula for the volume of a cylinder and the volume of a spherical segment, we can set up an equation and solve for the depth of the water.

c) Internal link:

Learn more about buoyancy and Archimedes' principle in this article.

Explanation:

User Yamira
by
7.8k points
3 votes

Answer:depth = 32.5cm.

Explanation:

User DUzun
by
8.6k points