Question

Pls help this is a major grade

What is the volume of this cylinder?
Use a 3.14 and round your answer to the nearest hundredth.
12 mm
8 mm

Answer 1

The volume of cylinder is 3617.28 mm³.

Step-by-step explanation:

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

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

• 
  `\pink\star` π ≈ 3.14
• 
  `\pink\star` r = radius
• 
  `\pink\star` h = height

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

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

`{\longrightarrow{\sf{Volume_((Cylinder)) = 3.14{(12)}^(2)8}}}`

`{\longrightarrow{\sf{Volume_((Cylinder)) = 3.14{(12 * 12)}8}}}`

`{\longrightarrow{\sf{Volume_((Cylinder)) = 3.14{(144)}8}}}`

`{\longrightarrow{\sf{Volume_((Cylinder)) = 3.14* 144 * 8}}}`

`{\longrightarrow{\sf{Volume_((Cylinder)) = 452.16* 8}}}`

`{\longrightarrow{\sf{Volume_((Cylinder)) = 3617.28}}}`

`\star{\underline{\boxed{\sf{\purple{Volume_((Cylinder)) = 3617.28 \: {mm}^(3)}}}}}`

Hence, the volume of cylinder is 3617.28 mm³.

`\rule{300}{2.5}`

Answer 2

3617.28 mm³

Explanation:

The volume of a cylinder is...

V = πr²h

Plug in the values given into the equation

V = (3.14)(12²)(8)

V = (3.14)(144)(8)

V = 3617.28 mm³