# How do you prove the volume of a sphere?

## How do you prove the volume of a sphere?

The formula for the volume of a sphere is V = 4/3 πr³.

Where did the formula for volume of a sphere come from?

Archimedes’ principle helps us find the volume of a spherical object. It states that when a solid object is engaged in a container filled with water, the volume of the solid object can be obtained. Because the volume of water that flows from the container is equal to the volume of the spherical object.

### How does the volume of a sphere relate to the volumes of other solids?

The volume V of a sphere is four-thirds times pi times the radius cubed. The volume of a hemisphere is one-half the volume of the related sphere. Note : The volume of a sphere is 2/3 of the volume of a cylinder with same radius, and height equal to the diameter.

What is the volume of a marble?

The average volume of a glass marble is about 2 cm3.

## How do you prove the surface area of a sphere?

The surface area of a sphere can be easily calculated with the help of the volume of the sphere. In this case, we should know the value of the radius of the sphere. The surface area of the sphere = 4πr2. From the formula of volume of a sphere, we can derive that, r3 = 3V/4π, or r = (3V/4π)1/3.

Does a sphere have volume?

### What tool do you use to find the volume of a marble?

Use the graduated cylinder and the water displacement method for finding the volume of the marble.

Is there a formula to calculate the volume of a sphere?

Write down the equation for calculating the volume of a sphere. This is the equation: V = ⁴⁄₃πr³.

• Find the radius. If you’re given the radius,then you can move on to the next step.
• Cube the radius. To cube the radius,simply multiply it by itself thrice,or raise it to the third power.
• Multiply the cubed radius by 4/3.
• Multiply the equation by π.
• ## Who discovered the formula for the volume of a sphere?

The radius of a sphere is the distance from the center to the points on the surface of the sphere. The volume of a sphere is the amount of space enclosed by the sphere. The formula for volume of a sphere and was first discovered by Archimedes and is 4/3πr3.

What is the formula of volume in cone and sphere?

TERMS IN THIS SET (10) Volume formula for a cylinder Volume formula for a cone OR V = (πr²h)/3 Volume formula for a sphere. Surface Area of a cylinder SA=2πr²+πdh

### What is the formula to find the diameter of a sphere?

Derivation of the above radius of a sphere formulas is, in fact, straightforward. You need to make some algebraic transformations using the following basic equations: Diameter of a sphere: d = 2 * r, Surface area of a sphere: A = 4 * π * r²,