Question

A solid spherical Ball fits exactly inside the cubical box of side 2a .the volune of the ball is

Answer 1

Answer:

Volume of sphere or ball= $\frac{4}{3}$π$(\frac{a}{2} )^3$=4$a^3$/24π

Step-by-step explanation:

If the sphere is placed inside a cubic box, then the diameter of the sphere must be equal to the distance between the opposite faces of the cube, which is =a

Therefore r = a/2

So the volume of the sphere (sphere) will be = $\frac{4}{3}$π$r^3$

On putting values we get:

Volume of sphere or ball= $\frac{4}{3}$π$(\frac{a}{2} )^3$=4$a^3$/24π

A sphere is a three-dimensional object that has a round shape. A sphere is defined in three axes i.e. x-axis, y-axis and z-axis. This is the main difference between a circle and a sphere. A sphere has no edges or vertices like other 3D shapes.

The distance between the center and the surface of the sphere is therefore the same at every point. This distance is called the radius of the sphere. Examples of spheres are spheres, globes, planets, etc.

What is a sphere?

As mentioned in the introduction, a sphere is a geometric figure that has a round shape. A sphere is defined in three-dimensional space. A sphere is a three-dimensional body that has surface area and volume. As with a circle, every point on the sphere is the same distance from the center.

Radius The distance between the surface and the center of a sphere is called its radius

Diameter The distance from one point to another point on the surface of a sphere, passing through the center, is called its diameter.

Surface The area occupied by the surface of a sphere is called its surface

Volume The amount of space occupied by any spherical object is called its volume

​

brainly.in/question/2690860

#SPJ3

Answer 2

Answer:

volume of cube = a³

volume of spgere = 4/3pie×r³

= 4/3pie (a/3)³

1/6piea³