How To Find The Diameter Of A Cylinder Formula

Round Cylinder Shape

Cylinder Diagram with r = radius and h = height
r = radius
h = summit
V = book
L = lateral surface surface area
T = top surface area
B = base expanse
A = total surface surface area
π = pi = 3.1415926535898
√ = square root

Calculator Use

This online calculator will calculate the various properties of a cylinder given 2 known values. It volition also calculate those backdrop in terms of PI π. This is a right circular cylinder where the top and bottom surfaces are parallel but information technology is usually referred to as a "cylinder."

Units: Note that units are shown for convenience merely practice not affect the calculations. The units are in place to give an indication of the order of the results such equally ft, ft² or ft³. For example, if you are starting with mm and you lot know r and h in mm, your calculations will upshot with 5 in mm³, L in mm², T in mm², B in mm² and A in mm².

Below are the standard formulas for a cylinder. Calculations are based on algebraic manipulation of these standard formulas.

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:
- Five = πr²h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
- 50 = twoπrh
Calculate the top and lesser surface area of a cylinder (2 circles):
- T = B = πr²
Full surface surface area of a closed cylinder is:
- A = Fifty + T + B = 2πrh + 2(πr²) = twoπr(h+r)

** The expanse calculated is only the lateral surface of the outer cylinder wall. To calculate the total surface area you volition demand to also summate the area of the top and bottom. Y'all tin can practise this using the circle calculator.

Cylinder Calculations:

Utilize the following additional formulas forth with the formulas above.

Given radius and peak calculate the volume, lateral area and total surface surface area.
Calculate V, L, A | Given r, h
- apply the formulas higher up
Given radius and volume summate the height, lateral surface area and total surface area.
Calculate h, L, A | Given r, 5
- h = V / πrⁱⁱ
Given radius and lateral surface area calculate the height, volume and full surface area.
Calculate h, 5, A | Given r, L
- h = L/2πr
Given meridian and lateral area calculate the radius, volume and full surface expanse.
Calculate r, 5, A | Given h, 50
- r = 50/twoπh
Given meridian and book summate the radius, lateral expanse and full surface area.
Calculate r, Fifty, A | Given h, V
- $r = √( V / πh )