Question

A cylinder has a radius of 4.5 inches and a height of 12 inches. What is the volume of the cylinder? Use 3.14 for π and round your answer to the nearest cubic inch if needed.

Answer 1

The correct answer is option (A) 763 in³.

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

As per given question we have provided that :

• 
  `\red\star` Radius of cylinder = 4.5 in
• 
  `\red\star` Height of cylinder = 12 in

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

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

• 
  `\pink\star` V = Volume
• 
  `\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{(4.5)}^(2)12}}`

`{\longrightarrow{\sf{Volume_((Cylinder)) = 3.14{(4.5 * 4.5)}12}}}`

`{\longrightarrow{\sf{Volume_((Cylinder)) = 3.14(20.25)12}}}`

`{\longrightarrow{\sf{Volume_((Cylinder)) = 3.14 * 20.25 * 12}}}`

`{\longrightarrow{\sf{Volume_((Cylinder)) \approx 63.58* 12}}}`

`{\longrightarrow{\sf{Volume_((Cylinder)) \approx 762.96}}}`

`{\longrightarrow{\sf{Volume_((Cylinder)) \approx 763 }}}`

`\star{\underline{\boxed{\sf{\red{Volume_((Cylinder)) \approx 763 \: {in}^(3)}}}}}`

Hence, the volume of cylinder is 763 in³.

`\rule{300}{2.5}`