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Help Help Math Math Math class=

Sagot :

Aayu0302idn

Answer:

V = 60

Step-by-step explanation:

V = πr²h

=> V = π(2)²(5)

=> V = 20π

=> V = 20(3)

=> V = 60

AadhPritidn

Answer:

The answer is [tex]\bf{V \approx \Big[62.80\Big] \: {in}^{3}}[/tex].

Step-by-step explanation:

[tex]\large\star \: {\tt{\underline{\underline{\red{SOLUTION}}}}}[/tex]

As per given data we have :

  • [tex]\small\pink\bull[/tex] Radius of cylinder = 2 in
  • [tex]\small\pink\bull[/tex] Height of cylinder = 5 in

We need to find the volume of cylinder.

Here's the required formula to find the volume of cylinder :

[tex]\longrightarrow{\pmb{\sf{V_{(Cylinder)} = \pi{r}^{2}h}}}[/tex]

  • [tex]\blue\star[/tex] V = Volume
  • [tex]\blue\star[/tex] π = 3.14
  • [tex]\blue\star[/tex] r = radius
  • [tex]\blue\star[/tex] h = height

Substituting all the given values in the formula to find volume of cylinder :

[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}[/tex]

[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(2)}^{2}5}}[/tex]

[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} {(2 \times 2)}5}}[/tex]

[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} {(4)}5}}[/tex]

[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} \times 4 \times 5}}[/tex]

[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{314}{100} \times 20}}[/tex]

[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{314 \times 20}{100}}}[/tex]

[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \dfrac{6280}{100}}}[/tex]

[tex]\longrightarrow{\sf{Volume_{(Cylinder)} \approx 62.80 }}[/tex]

[tex]\star\underline{\boxed{\sf{\purple{Volume_{(Cylinder)} \approx 62.80 \: {in}^{3}}}}}[/tex]

Hence, the volume of cylinder is 62.80 in³.

[tex]\rule{300}{2.5}[/tex]

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