What is TSA of cylinder??
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Verified answer
Total surface area
The total surface area of a cylinder is equal to the sum of areas of all its faces
[tex]\small{\boxed{\pink{T.S.A \: of \: cylinder
= 2 π {r}^{2} (h+r)}}}[/tex]
Solved example
[tex] \huge{ \underline{\red{ \mathbb{ \red{Question}}}}}[/tex]
Find the total surface area of a container in cylindrical shape whose diameter is 28cm and height is 15cm.
Solution
Given:
Diameter = 28cm, so radius = 28/2 = 14cm
height = 15cm
[tex] \small{\boxed{ \mathcal{ \green{formula\:used=2πr (h + r)}}}}[/tex]
Calculation:
TSA = 2πr (h + r)
=> 2x 22/7 x 14 x (15 + 14)
=> 2 x 22 x 2 x 29
=> 2552 sq.cm
Hence, the total surface area of container is 2552 sq.cm.
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..}}}[/tex]
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[tex]\Large\fbox{\color{purple}{QUESTION}}[/tex]
SURFACE AREA VOLUME FORMULAS
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[tex]\Large\fbox{\color{purple}{ SOLUTION }}[/tex]
[tex]\Large\mathcal\brown{CYLINDER} [/tex]
[tex] \implies \: csa = 2\pi \: r \: h \\ \\ \implies \: tsa = 2\pi \: r(r + h) \\ \\ \implies \: volume \: = \pi \: {r}^{2} h
[/tex]
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