Hey ! there
Answer:
Step-by-step explanation:
In this question we are provided with a sphere having radius 3 units and value of π is 3.14 . And we're asked to find the volume of sphere .
For finding volume of sphere , we need to know its formula . So ,
[tex] \qquad \qquad \: \underline{\boxed{ \frak{Volume_{(Sphere)} = \dfrac{4}{3} \pi r {}^{3} }}}[/tex]
Where ,
- r refers to radius of sphere
Solution : -
Now , we are substituting value of π and radius in the formula ,
[tex] \quad \longrightarrow \qquad \: \dfrac{4}{3} \times 3.14 \times (3) {}^{3} [/tex]
Simplifying it ,
[tex] \quad \longrightarrow \qquad \: \dfrac{4}{3} \times 3.14 \times 3 \times 3 \times 3[/tex]
Cancelling 3 with 3 :
[tex] \quad \longrightarrow \qquad \: \dfrac{4}{ \cancel{3}} \times 3.14 \times 3 \times 3 \times \cancel{3}[/tex]
We get ,
[tex] \quad \longrightarrow \qquad \:4 \times 3.14 \times 9[/tex]
Multiplying 4 and 3.14 :
[tex] \quad \longrightarrow \qquad \:12.56 \times 9[/tex]
Multiplying 12.56 and 9 :
[tex] \quad \longrightarrow \qquad \: \pink{\underline{\boxed{\frak{113.04 \: unit \: cube}}}} \quad \bigstar[/tex]
- Henceforth , volume of sphere having radius 3 units is 113 .04 units cube .
#Keep Learning
