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

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

2 thoughts on “The diameter of a sphere is 6 cm, the<br />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

    Step3:Radius we find and hence evaluate it your required volume.

    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

    Radius =3cm

    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

    More about sphere

    • A sphere is a curved shape figure means it has no flat surface.
    • Also,it has no edges nor vertices .
    • It’s surface points are at equidistant from its centre.

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