Question

What is the correct answer for this?

Answer 1

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What is the volume of a sphere if its radius is 3 m?

[tex]\Large\boxed{\:\:\:\:\:\:\:}[/tex] cubic meters

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

[tex]\textsf{Volume\:of\:a\:sphere:-}[/tex]

[tex]\bigstar[/tex][tex]\boxed{\bold{V=\displaystyle\frac{4}{3} \pi r^3}}[/tex]

Where

[tex]\bold{V\:=\:volume}[/tex]

[tex]\bold{\pi \:=\:pi\:(3.14...)}[/tex]

[tex]\bold{r\:=\:radius}[/tex]

Given:-

[tex]\bold{r=3m}[/tex]

Solving for Volume:-

[tex]\bold{V=\displaystyle\frac{4}{3} \pi (3)^3}[/tex]

Cube the radius:-

[tex]\bold{V=\displaystyle\frac{4}{3} \pi *27}[/tex]

Multiply:-

[tex]\bold{V=113.04m^3}[/tex] (rounded to the nearest hundredth)

So the volume of this sphere is

[tex]\boxed{\bold{113.04\:\:\:\:\:\:\:\:\:}}[/tex] cubic meters

Good luck.

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Answer 2

113.04 ≈ 113 m³

Step-by-step explanation:

Given that,

→ Radius (r) = 3 m

Formula we use,

→ 4/3 πr³

Let's solve the problem,

→ 4/3 πr³

→ 4/3 × 3.14 × 3 × 3 × 3

→ 4/3 × 3.14 × 27

→ 4/3 × 84.78

→ 339.12/3

→ 113.04

→ [ ≈ 113 m³ ]

Hence, volume of sphere is 113 m³.