Question

The volume of a sphere with radius r

is given by the formula V=4/3 π r^3.
Find the volume of a sphere with radius 8 cm is

Answer 1

• 2143.57 cm³

`\:`

Explanation:

In the question, it is given that a sphere has a radius of cm and we have to find the volume of the sphere.

To Find the volume of the cone, we must know this formula :

`\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_((sphere) )= (4)/(3) \: \pi {r}^(3)}}}}}}} \\ \\`

Now, we will substitute the values in the formula :

`\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_((sphere) )= (4)/(3) \: * 3.14 * {(8)}^(3)}}}}}} \\ \\`

`\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_((sphere) )= (4)/(3) \: * 3.14 * 512}}}}}} \\ \\`

`\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_((sphere) )= (4)/(3) \: * 1067.68}}}}}} \\ \\`

`\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_((sphere) )= (4 * 1067.68 )/(3) \: }}}}}} \\ \\`

`\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_((sphere) )= (6430.72 )/(3) \: }}}}}} \\ \\`

`\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_((sphere) )= 2143.57}}}}}} \\ \\`

Therefore,

• The volume of the sphere is 2143.57 cm³