Right Cylinder

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

 

Article Links

• Moment of Inertia
• Moment of Inertia of a Cylinder

 

 

 

 

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	\(\large{ in^3 }\)	\(\large{ mm^3 }\)

 

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	\(\large{ in }\)	\(\large{ mm }\)

 

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	\(\large{ in^3 }\)	\(\large{ mm^3 }\)

 

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	\(\large{ in }\)	\(\large{ mm }\)

 

 

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	\(\large{ in }\)	\(\large{ mm }\)