Volume of Sphere (Definition, Formula, Derivation and Examples)
The volume of sphere indicates how much capacity the three-dimensional solid has. This means how much money can come to it. The amount of material that can come in a solid indicates its capacity. The shape of the sphere is round and three-dimensional. It consists of three axes. Such as the x-axis, y-axis, and z-axis that define its shape.
![Volume of a Sphere Volume of a Sphere](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgOtOq413UPF7BTsW3z6rePjXteXhS9pBfXDneoQD6gFxjWspUc-mrYmRX-w0fApViRN-eL5tL9CL89ze897Vq1FDhcxwTFrM-h9q4Wdy5biIXqOTHqzLmZOp2L7-NHbqVWfZkUL0op3cQ/w258-h262/Volume-of-Sphere-main.webp)
The volume of sphere depends on the diameter and radius of the sphere because if we take the cross-section of the sphere, it is a sphere. The surface area of the sphere is the area of its outer surface. To calculate the volume of a sphere's volume (whose radius is "r"), we have the formula below:
![Volume Of Sphere Volume Of Sphere](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmEfSl0ax9TWR5d21Tt1SazQV1KTuFNoaNQyNKGfomJKSPgwCH5MhogSCLg-mZHtgI47vCJmdMrDNPwl7IylfYwKmQzYKSA8fiWMfdnIcI2Zrd1qtoJtvV8n7MTfERlNxc0GYFWfSNcgA/w404-h71/Volume-Of-Sphere-1.webp)
Now we learn to get this formula here and to understand the concept we try to solve some questions.
When you look at a circle and circle, both are circular. A circle can be drawn on paper but cannot be drawn. The difference between the two scenarios is that a circle is a two-dimensional shape and a cycle is a three-dimensional shape, which is why we can measure volume and area.
Volume Of Sphere
A sphere is defined as a solid three-dimensional figure where each of the above points is equal from its center. A fixed distance is called the panel radius and a fixed point is called the center. When the circle is rotated, we will look for a change of scenario. Thus, three-dimensional shape is obtained by rotating a two-dimensional object called a circle
The Archimedes system helps us to determine the volume of a circular object. It states that when a solid object is placed in a container filled with water, the volume of the solid object can be obtained. Because the volume of water flowing from a container is equal to the volume of a circular object.
The volume of Sphere Formula
![Volume of Sphere Formula Volume of Sphere Formula](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDFxS-0fPE-lsIKZZXpTCaYzXGUtMBcETlSpFgi4OwvBjOHzdSqmCkC1QUPkE0pmf2ZT2c7jajydP70fpMHQk6hpLkK-7esNkTkihvUKtns03JTXzTciq9P5a0qIAbApEVv6gW0TToay4/w404-h71/Volume-Of-Sphere-1.webp)
Examples
Example 1: Find the volume of a sphere whose radius is 5 cm?
![Volume of Sphere Volume of Sphere](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgL712wxs2Fgy-mO0i8su4pflMhPiXQGufc0AJ1UrhxuOopq2qBNZOZNOy3xFIekJltpuIkuozqOdKYD9gKrqGsy6_J77P7YROJ0E8J2_sTTAC5zqI1aFyFn0DVuSPdCDYyWFz0LnTdRrM/d/volume-of-sphere-ex-1.webp)
Example 2: Find the volume of a sphere whose radius is 2 cm?
![Volume of Sphere Volume of Sphere](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjoO-_x8458GgI4ak9Rfjm49zyLSCQRJsEq1m5jiQ3v3YVAxlMsspgHJUVlp1gYxFS9PzUhh2LSGpva3YrHJkQrQ7WyhdxiNQyZDpd6Gq0xPhTPmUJ2mb5REOKTluXTev6vwzDFIi6RtPU/d/volume-of-sphere-ex-2.webp)
Example 3: Find the volume of a sphere whose radius is 9 cm?
![Volume of Sphere Volume of Sphere](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjspXPkLDFkatenoQxofsFsSw8GOxJOMmPFxa8iCggCQXBtylrVsCyv8lxf7sErPTjBMWADUmpRPxQvoo7eh7FdmQO5gWQIaWiJkPLDRIDDX7jFPKq4sB_JcZmjr8DUwJxyChmPgUl8hZA/d/volume-of-sphere-ex-3.webp)
Example 4: Find the volume of a sphere whose radius is 11 cm?
![Volume of Sphere Volume of Sphere](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhR2geAyzIpbcLsfaGN95d9JJqkZp1j8RR-_h0M7td6fkWGLNH8CMMuaxFp1z-ERKXW_NxEeIxoxEXjanSiufWfnv_9H6y7h5JaGhkAx2bRb58GWNXzyAIPanHml7CamnTckUrWICchsO8/d/volume-of-sphere-ex-4.webp)