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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.

A cylinder has a radius of 4.5 inches and a height of 12 inches. What is the volume-example-1
User Sec
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1 Answer

19 votes
19 votes

Answer:

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}

User Sebastian Hofmann
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