Question

PLEASE HELP!! I WILL MARK THE FIRST CORRECT ANSWER BRAINLIEST!!))

Answer 1

Answer:

The volume of cylinder is 3416.32 in³.

Step-by-step explanation:

Given :

• $\small\purple\bull$ Diameter of cylinder = 16 in.
• $\small\purple\bull$ Height of cylinder = 17 in.

$\begin{gathered}\end{gathered}$

To Find :

• $\small\purple\bull$ Radius of cylinder
• $\small\purple\bull$ Volume of cylinder

$\begin{gathered}\end{gathered}$

Using Formulas :

$\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}$

• $\blue\star$ R = Radius
• $\blue\star$ D = Diameter

$\star{\small{\underline{\boxed{\sf{\pink{Volume_{(Cylinder)} =\pi{r}^{2}h}}}}}}$

• $\blue\star$ π = 3.14
• $\blue\star$ r = radius
• $\blue\star$ h = height

$\begin{gathered}\end{gathered}$

Solution :

Here we have given that the diameter of cylinder is 16 in. So, finding the radius of cylinder by substituting the values in the formula :

${\longmapsto{\sf{Radius_{(Cylinder)} = \dfrac{D}{2}}}}$

${\longmapsto{\sf{Radius_{(Cylinder)} = \dfrac{16}{2}}}}$

${\longmapsto{\sf{Radius_{(Cylinder)} = \cancel{\dfrac{16}{2}}}}}$

${\longmapsto{\sf{Radius_{(Cylinder)} = 8 \: in}}}$

$\star\underline{\boxed{\sf{\red{Radius_{(Cylinder)} = 8 \: in}}}}$

Hence, the radius of cylinder is 8 in.

$\begin{gathered}\end{gathered}$

Now, finding the volume of cylinder by substituting the values in the formula :

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

${\longrightarrow{\sf{Volume_{(Cylinder)} =3.14 \times {(8)}^{2} \times 17}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} =3.14 \times {(8 \times 8)}\times 17}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} =3.14 \times {(64)}\times 17}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} =3.14 \times 64\times 17}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} =200.96\times 17}}}$

${\longrightarrow{\sf{Volume_{(Cylinder)} =3416.32 \: {in}^{3}}}}$

$\star{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} =3416.32 \: {in}^{3}}}}}}$

Therefore, the volume of cylinder is 3416.32 in³.

$\rule{300}{2.5}$

Answer 2

Hope you could understand.

If you have any query, feel free to ask.