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a cylinder has a radius of 5 and height of 3. what is the volume

Sagot :

Answer: Volume of the cylinder is 75π or 235.62 cm³

                    Volume of cylinder =πr²h

                                        where r is radius and h is height.

Here given radius = 5 and height = 3

Using the formula: πr²h

                              : π ** 3

                              : π * 5 * 5 * 3

                              : 75π or 235.62 cm³

Answer:

The volume of cylinder is 235.5 units³.

Step-by-step explanation:

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

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

  • V = Volume
  • π = 3.14
  • r = radius
  • h = height

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

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

[tex]\longrightarrow{\sf{V_{(Cylinder)} = 3.14{(5)}^{2}3}}[/tex]

[tex]\longrightarrow{\sf{V_{(Cylinder)} = 3.14(5 \times 5)3}}[/tex]

[tex]\longrightarrow{\sf{V_{(Cylinder)} = 3.14(25)3}}[/tex]

[tex]\longrightarrow{\sf{V_{(Cylinder)} = 3.14 \times 25 \times 3}}[/tex]

[tex]\longrightarrow{\sf{V_{(Cylinder)} = 78.5 \times 3}}[/tex]

[tex]\longrightarrow{\sf{V_{(Cylinder)} = 235.5}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{V_{(Cylinder)} = 235.5 \: {units}^{3}}}}}}[/tex]

Hence, the volume of cylinder is 235.5 units³.

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