# The diameter of a sphere is 6 cm, thevolume of sphere will be:​

The diameter of a sphere is 6 cm, the
volume of sphere will be:​

1. ## Given

We have given diameter of sphere which is 6cm

## To find

We have to find the volume of sphere

[tex]\sf\huge\bold{\underline{\underline{{Solution}}}}[/tex]

How to solve

Step1: Firstly we will find radius of sphere by using diameter.

Step2:Then will apply formula for volume of Sphere

Diameter of sphere= 6cm

We know that Diameter is twice of radius or radius is half of Diameter.

So,radius will be = D÷2= 6÷2=3

Now, applying formula for finding volume

volume of sphere =4/3πr³

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]=4/3×22/7×(3)³

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]=4/3×22/7×27

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]=4×22/7×9

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]=792/7

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]=113.14cm³

Hence,volume of sphere is 113.1cm³

## Extra information=>

• Volume always written in cubic units.
• Since,the sphere is a curved shape figure so,it’s curved surface area is equal to the total surface area is 4πr²