Right Cylinder

• Right cylinder (a three-dimensional figure) has two circular parallel congruent bases.
• 2 bases
• See Moment of Inertia of a Cylinder

 

 

 

 

 

 

Height of a Right Cylinder formula

\(\large{ h = \frac{V}{\pi \; r^2} }\)

Where:

\(\large{ h }\) = height

\(\large{ r }\) = radius

\(\large{ V }\) = volume

\(\large{ \pi }\) = Pi

 

Lateral Surface Area of a Right Cylinder formula

\(\large{ A_l = 2\; \pi\; r\; h }\)

Where:

\(\large{ A_l }\) = lateral surface area (side)

\(\large{ r }\) = radius

\(\large{ h }\) = height

 

Radius of a Right Cylinder formula

\(\large{ r = \sqrt{  \frac{V}{\pi \; h}  } }\)

Where:

\(\large{ r }\) = radius

\(\large{ h }\) = height

\(\large{ V }\) = volume

\(\large{ \pi }\) = Pi

 

Surface Area of a Right cylinder formula

\(\large{ A_s = 2\; \pi\; r\;h+2\; \pi\; r^2 }\)

Where:

\(\large{ A_s }\) = surface area (bottom, top, side)

\(\large{ r }\) = radius

\(\large{ h }\) = height

 

Volume of a Right cylinder formula

\(\large{ V = \pi\; r^2\;h }\)

Where:

\(\large{ V }\) = volume

\(\large{ r }\) = radius

\(\large{ h }\) = height