Question

When immersed in a container filled with water, a ball of mass 500 g displaced 250 mL of water. How much water would a 350 g ball (made of the same material as the 500 g ball) displaced?

Answer 1

Using the relationship between mass and volume from Archimedes' principle, a 350 g ball made of the same material as the 500 g ball would displace 175 mL of water.

Step-by-step explanation:

The question involves the principle of buoyancy and Archimedes' principle, which states that the upward buoyant force exerted on a body immersed in a fluid is equal to the weight of the fluid that the body displaces.

Given the direct proportionality between the mass of the ball and the volume of water displaced, we can set up a ratio to find the volume of water the 350 g ball would displace.

For the 500 g ball:
Mass (500 g) : Volume Displaced (250 mL) = 2 g/mL

For the 350 g ball, we use the same ratio since it's the same material:
Mass (350 g) : Volume Displaced (x mL) = 2 g/mL

Solving the second ratio for x, we get:

350 g / (2 g/mL) = x mL

x = 175 mL

Therefore, a 350 g ball made of the same material as the 500 g ball would displace 175 mL of water.