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

Answer:

The correct answer is option (A) 763 in³.

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 :

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

$\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(4.5)}^{2}12}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(4.5 \times 4.5)}12}}}$

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

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

${\longrightarrow{\sf{Volume_{(Cylinder)} \approx 63.58\times 12}}}$

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

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

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

Hence, the volume of cylinder is 763 in³.

$\rule{300}{2.5}$