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 10 cm is?

Answer 1

Given :

• Radius of sphere is 10 cm.

To Find :

• Volume of sphere.

Solution :

As we know that volume of sphere is calculated by the formula :

• V = 4/3 πr³

Here,

• V is volume
• r is radius
• Value of π is 22/7

Putting the values in the formula,

>> V = (4 / 3) × (22 / 7) × (10)³

>> V = (4 / 3) × (22 / 7) × (10 × 10 × 10)

>> V = (4 / 3) × (22 / 7) × (10 × 100)

>> V = (4 / 3) × (22 / 7) × 1000

>> V = 4 × 22 × 1000 / 3 × 7

>> V = 88 × 1000 / 3 × 7

>> V = 88000 / 3 × 7

>> V = 88000 / 21

>> V = 4190.47 cm³

Answer 2

• 4186.6 cm³

`\:`

Explanation:

In the question, it is given that a sphere has a radius of 10 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 * {(10)}^(3)}}}}}} \\ \\`

`\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_((sphere) )= (4)/(3) \: * 3.14 * 1000}}}}}} \\ \\`

`\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_((sphere) )= (4)/(3) \: * 3140}}}}}} \\ \\`

`\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_((sphere) )= (4 * 3140)/(3) }}}}}} \\ \\`

`\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_((sphere) )= (12560)/(3) }}}}}} \\ \\`

`\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_((sphere) )= 4186.6 }}}}}} \\ \\`

Therefore,

• The volume of the sphere is 4186.6 cm³