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Find the volume of the cylinder. Enter the answer EXACTLY please, no rounding.

Find The Volume Of The Cylinder Enter The Answer EXACTLY Please No Rounding class=

Sagot :

PERCYthePandaidn

Answer:

V≈1.25664×10^6

Step-by-step explanation:

The formula for the volume of a cylinder is V=πr2h, so if you plug in the values for radius and height (V=πr2h=π·100^2·40), you get .25664×10^6)

AadhPritidn

Answer:

The volume of cylinder is 314000 ft³.

Step-by-step explanation:

Solution :

Here we have given that :

  • [tex]\pink\star[/tex] Height of cylinder = 40 ft
  • [tex]\pink\star[/tex] Diameter of cylinder = 100 ft
  • [tex]\pink\star[/tex] Radius of cylinder = 100/2 = 50 ft

We need to find the volume of cylinder.

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

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

  • [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 the volume of cylinder :

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

[tex]\longrightarrow{\sf{Volume_{(Cylinder)}= 3.14{(50)}^{2}40}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= 3.14{(50 \times 50)}40}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= 3.14{(2500)}40}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= 3.14 \times 2500 \times 40}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= 3.14 \times 100000}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= \dfrac{314}{100} \times 100000}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= \dfrac{314 \times 100000}{100}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= \dfrac{31400000}{100}}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)}= 314000 \: {ft}^{3}}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\purple{Volume_{(Cylinder)}= 314000 \: {ft}^{3}}}}}}[/tex]

Hence, the volume of cylinder is 314000 ft³.

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

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