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Right Cylinder

  • cylinder 3Right cylinder (a three-dimensional figure) has two circular parallel congruent bases.
  • 2 bases

 

Height of a Right Cylinder formula

\( h \;=\;  \dfrac{ V }{ \pi \cdot r^2 }\) 
Symbol English Metric
\( h \) = height \( in \) \( mm \)
\( r \) = radius \( in \) \( mm \)
\( \pi \) = Pi \(3.141 592 653 ...\) \(3.141 592 653 ...\)
\( V \) = volume \( in^3 \) \( mm^3 \)

 

Lateral Surface Area of a Right Cylinder formula

\( A_l \;=\;  2 \cdot \pi \cdot r \cdot h \) 
Symbol English Metric
\( A_l \) = lateral surface area (side) \( in^2 \) \( mm^2 \)
\( h \) = height \( in \) \( mm \)
\( r \) = radius \( in \) \( mm \)

 

Radius of a Right Cylinder formula

\( r \;=\;  \sqrt{  \dfrac{ V }{ \pi \cdot h }  } \) 
Symbol English Metric
\( r \) = radius \( in \) \( mm \)
\( h \) = height \( in \) \( mm \)
\( \pi \) = Pi \(3.141 592 653 ...\) \(3.141 592 653 ...\)
\( V \) = volume \( in^3 \) \( mm^3 \)

 

Surface Area of a Right cylinder formula

\( A_s \;=\;  2 \cdot \pi \cdot r \cdot h+2 \cdot \pi \cdot r^2 \) 
Symbol English Metric
\( A_s \) = surface area (bottom, top, side) \( in^2 \) \( mm^2 \)
\( h \) = height \( in \) \( mm \)
\( r \) = radius \( in \) \( mm \)

 

Volume of a Right cylinder formula

\( V \;=\;  \pi \cdot  r^2 \cdot h \) 
Symbol English Metric
\( V \) = volume \( in^3 \) \( mm^3 \)
\( h \) = height \( in \) \( mm \)
\( r \) = radius \( in \) \( mm \)

 

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