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LenaWriter [7]
3 years ago
11

Find the surface area of the cylinder and round to the nearest tenth and its recommended that you use pie or 3.14 also the radiu

s is half the diameter

Mathematics
2 answers:
larisa86 [58]3 years ago
7 0

\begin{gathered} {\underline{\boxed{ \rm { \purple{Surface \:  \:  area \:  =  \: 2 \: \pi \: r \: h \:  +  \: 2 \: \pi \:  {r}^{2} }}}}}\end{gathered}

  • r represents radius of cylinder.

  • h denotes height of cylinder.

<h2><u>Solution</u> </h2>

\large{\bf{{{\color{navy}{h \:  =  \: 2 \: ft. }}}}}

\bf \large \longrightarrow \: \: r \:  =  \:  \frac{Diameter}{2}

\bf \large \longrightarrow \: \: r \:  =  \:  \frac{2}{2}  \\

\bf \large \longrightarrow \: \: r \:  =  \:   \cancel\frac{2}{2} \:  ^{1}   \\

\large{\bf{{{\color{navy}{r \:  =  \: 1 \: ft. \: }}}}}

<h3 /><h3>☛ Now , Substuting the values</h3>

\bf  \hookrightarrow \: \: \: 2 \:  \times  \: 3.14  \times \: 1 \: ft  \:  \times \: 2 \: ft \:  +  \: 2 \:  \times  \: 3.14 \:  \times  \:   {(1 \: ft)}^{2}

\bf  \hookrightarrow \: \: \:6.28 \: ft \:  \times  \: 2  \: ft\:  \:  +  \: 6.28 \: ft

\bf  \hookrightarrow \: \: \:12.56 \: {ft}^{2}   \:  +  \: 6.28 \: ft

\bf  \hookrightarrow \: \: \:18.84 \:  {ft} \: ^{2}

Hence , the surface area of cylinder is 18.84 ft²

Round to the nearest 10 of 18.84 is 18.8

VARVARA [1.3K]3 years ago
5 0

Diameter=d=2ft

  • Radius=d/2=2/2=1ft
  • Height=h=2ft

We know

\boxed{\sf Lateral\:Surface\:Area=2πrh}

\\ \sf\longmapsto Lateral\: Surface\:Area=2\times 3.14\times 2\times 1

\\ \sf\longmapsto Lateral\;Surface\:Area=4(3.14)

\\ \sf\longmapsto Lateral\:Surface\:Area=12.56ft^3

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