Question

what is the surface area and volume of a cylinder that is 6cm and 15cm using 3.14 for pie​

Answer 1

Step-by-step explanation:

$\blue{ \bf{ \underline{QUESTION} : }}$

Find the surface area and volume of a cylinder that is 6cm and 15cm

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$\boxed{ \huge{ \bold{Given}}}$

Note :- Radius is Smaller than Height

• Radius (r) = 6 cm

• Height (h) = 15 cm

$\boxed{ \huge{ \bold{ to \: find}}}$

• Surface Area And Volume (Cylinder)

$\star{ \pink{ \underline{ \underline{Ｓｏｌｕｔｉｏｎ : - }}}}$

We Know that ➥

$\boxed{ \boxed{ \red{ \sf{Volume \: of \: Cylinder = \pi {r}^{2} h}}}}$

$\: \: \: \: \: \: \: {\implies{ \sf{Volume \: of \: Cylinder = 3.14 \times {6}^{2} \times 15}}}$

$\: \: \: \: \: \: \: {\implies{ \sf{Volume \: of \: Cylinder = 3.14 \times 36 \times 15}}}$

$\: \: \: \: \: \: \: {\implies{ \sf{Volume \: of \: Cylinder = {\boxed{ \orange{ 1.695 \: {cm}^{3}} }}}}}$

We Know that ➦

$\boxed{ \boxed{ \red{ \sf{Surface \: Area \: of \: Cylinder = 2\pi {r}^{2} + 2\pi \: r \: h}}}}$

$\: \: \: \: \: \: \: {\implies{ \sf{ Surface \: Area \: of \: Cylinder = 2 \times 3.14 \times {6}^{2} + 2 \times 3.14 \times 6 \times 15 }}}$

$\: \: \: \: \: \: \: {\implies{ \sf{ Surface \: Area \: of \: Cylinder = 2 \times 3.14 \times {36} + 2 \times 3.14 \times 6 \times 15 }}}$

$\: \: \: \: \: \: \: {\implies{ \sf{ Surface \: Area \: of \: Cylinder = 226.08+ 591.2 }}}$

$\: \: \: \: \: \: \: {\implies{ \sf{ Surface \: Area \: of \: Cylinder ={ \boxed{ \orange {791.28 \: {cm}^{2}} }}}}}$

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More You Know ➮

• The volume of a cylinder = πr²h

• Lateral Surface Area = 2πrh = πdh

• Total Surface Area = 2πrh + 2πr² = 2πr (h+r)

• Volume of Hollow Cylinder = πR²h – πr²h = π (R² – r²) h

• Lateral Surface (hollow cylinder) = 2πRh + 2πrh = 2π(R+r)h

• Total Surface Area (cylinder) = 2π(R+r)h + 2π (R² – r²) h

• Volume of Cone = 1/3 π r² h

• Lateral Surface = πrl

• where l = slant height = √(r²+ h² )

• Total Surface Area = πrl + π r²

• Surface Area of a Sphere = 4 times

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