Question

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

Answer 1

The volume of cylinder is 235.5 units³.

Step-by-step Step-by-step explanation:

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

`\longrightarrow{\boldsymbol{V_((Cylinder)) = \pi{r}^(2)h}}`

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

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

`\longrightarrow{\sf{V_((Cylinder)) = \pi{r}^(2)h}}`

`\longrightarrow{\sf{V_((Cylinder)) = 3.14{(5)}^(2)3}}`

`\longrightarrow{\sf{V_((Cylinder)) = 3.14(5 * 5)3}}`

`\longrightarrow{\sf{V_((Cylinder)) = 3.14(25)3}}`

`\longrightarrow{\sf{V_((Cylinder)) = 3.14 * 25 * 3}}`

`\longrightarrow{\sf{V_((Cylinder)) = 78.5 * 3}}`

`\longrightarrow{\sf{V_((Cylinder)) = 235.5}}`

`\star{\underline{\boxed{\sf{\red{V_((Cylinder)) = 235.5 \: {units}^(3)}}}}}`

Hence, the volume of cylinder is 235.5 units³.

`\rule{300}{2.5}`

Answer 2

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 * 5² * 3

: π * 5 * 5 * 3

: 75π or 235.62 cm³