Question

Find the volume of spherical ball whose diameter is 6 m

Answer 1

Step-by-step explanation:

Given:-

The diameter of a spherical ball is 6m

To find:-

Find the volume of spherical ball whose diameter is 6 m

Solution:-

Diameter of the spherical ball = 6 m

d= 6 m

Radius of the spherical ball = Diameter/2

=>r = 6/2

=>r = 3 m

Radius of the given spherical ball = 3 m

Volume of a sphere = (4/3)πr^3 cubic units

Volume of the spherical ball =

=> (4/3)×(22/7)×3^3 m^3

=>(4/3)×(22/7)×3×3×3

=>(4/3)×(22/7)×27

=>(4×22×27)/(3×7)

=>(4×22×9)/7

=>792/7

=>113.14...

Volume of the given spherical ball = 113.14 m^3

Answer:-

Volume of the given spherical ball = 113.14 m^3

Used formula:-

Volume of a sphere = (4/3)πr^3 cubic units

Where r is the radius and π=22/7

Answer 2

Digram:-

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Given:-

• Diameter of spherical ball = 6m

To find:-

• Volume of spherical ball

Solution:-

First Let's convert diameter into radius.

we know:-

$\bigstar \boxed{ \rm{}diameter = 2 \times radius}$

$\dashrightarrow\sf{}diameter = 2 \times radius$

$\dashrightarrow\sf{}6 = 2 \times radius$

$\dashrightarrow\sf{} 2 \times radius = 6$

$\dashrightarrow\sf{}radius = \dfrac{6}{2}$

$\dashrightarrow\sf{}radius = \dfrac{3 \times 2}{2}$

$\dashrightarrow\sf{}radius = \dfrac{3 \times \cancel2}{\cancel2}$

$\dashrightarrow\sf{}radius =3 \times 1$

$\dashrightarrow \underline{ \boxed{\sf{}radius =3 \: m}}$

Finally Let's find volume of spherical ball:

We know:

$\bigstar \boxed{ \rm{}Volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} }$

By using this formula we can find value of volume of sphere

$\dashrightarrow\sf{}Volume \: of \: sphere = \dfrac{4}{3} \pi {r}^{3}$

$\dashrightarrow\sf{}Volume \: of \: sphere = \dfrac{4}{3} \times \dfrac{22}{7} \times {3}^{3}$

$\dashrightarrow\sf{}Volume \: of \: sphere = \dfrac{4}{3} \times \dfrac{22}{7} \times 3 \times 3 \times 3$

$\dashrightarrow\sf{}Volume \: of \: sphere = \dfrac{4}{\cancel3} \times \dfrac{22}{7} \times \cancel3 \times 3 \times 3$

$\dashrightarrow\sf{}Volume \: of \: sphere = \dfrac{22 \times 3 \times 3 \times 4}{7}$

$\dashrightarrow\sf{}Volume \: of \: sphere = \dfrac{792}{7}$

$\dashrightarrow \underline{ \boxed{\sf{}Volume \: of \: sphere =113.14 \: m} }$

$\therefore \underline{ \textsf{Volume of sphere = \textbf{113.14 m(approx)}}}$