How did Archimedes influence math?

How did Archimedes influence math?

Archimedes (ca. Archimedes made important contributions to the field of mathematics. Archimedes discovered fundamental theorems concerning the center of gravity of plane geometric shapes and solids. He is the founder of statics and of hydrostatics.

Why is Archimedes considered the greatest mathematician?

Archimedes, (born c. 287 bce, Syracuse, Sicily [Italy]—died 212/211 bce, Syracuse), the most famous mathematician and inventor in ancient Greece. Archimedes is especially important for his discovery of the relation between the surface and volume of a sphere and its circumscribing cylinder.

What pushes an ice cube to the top of a glass of water?

buoyant force

Why needle sinks in water and ship floats?

This can be explained as follows: A ship is made up of iron and steel, but it has a lot of space filled with air. This causes the ship to displace water with a weight equal to the weight of the ship. On the other hand, the needle displaces more water than its weight and hence it sinks.

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How do you know if an object will float?

Key Concepts

  1. The density of an object determines whether it will float or sink in another substance.
  2. An object will float if it is less dense than the liquid it is placed in.
  3. An object will sink if it is more dense than the liquid it is placed in.

Will an object sink or float if it has the same density as water?

If the object is of equal density it will sink into the water so that no part of the object is above the surface. It may or may not “float” just but entirely below the surface.

Can you use mass and volume to predict whether an object will sink or float?

Can mass alone be used to accurately predict whether an object will sink or float? -No, you need both mass and volume to determine its desity to see if it can float. -No, you need both mass and volume to find its density to see if it can float.

When you increase the volume and keep the mass constant is the object more likely to sink or float?

When volume is increased, the total surface area of the object will be increased. The density of the object is directly proportional to the mass of the object and when mass remains constant, the density will also remain constant. Therefore, when volume increases, the object will get higher chances of floating.