Right Cylinder

on . Posted in Solid Geometry

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

 

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cylinder 3

Height of a Right Cylinder formula

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

 

cylinder 3

Lateral Surface Area of a Right Cylinder formula

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

 

cylinder 3

Radius of a Right Cylinder formula

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

 

cylinder 3

Surface Area of a Right cylinder formula

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

 

 

cylinder 3

Volume of a Right cylinder formula

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

 

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Tags: Volume Equations