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How To Find The Radius Of A Cylinder

Cylinder Estimator

Round Cylinder Shape

Cylinder Diagram with r = radius and h = height
r = radius
h = height
V = volume
Fifty = lateral surface area
T = elevation surface expanse
B = base surface area
A = full surface surface area
π = pi = 3.1415926535898
√ = square root

Calculator Use

This online calculator volition calculate the various backdrop of a cylinder given two known values. It volition likewise calculate those properties in terms of PI π. This is a correct circular cylinder where the summit and lesser surfaces are parallel but it is commonly referred to as a "cylinder."

Units: Note that units are shown for convenience simply practise not touch the calculations. The units are in identify to give an indication of the society of the results such as ft, ftii or ftiii. For example, if you are starting with mm and you know r and h in mm, your calculations will effect with 5 in mmiii, L in mmtwo, T in mm2, B in mmtwo and A in mm2.

Beneath 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:
    • V = πr2h
  • Calculate the lateral surface expanse of a cylinder (just the curved outside)**:
    • L = 2πrh
  • Summate the summit and bottom surface surface area of a cylinder (2 circles):
    • T = B = πr2
  • Total surface expanse of a closed cylinder is:
    • A = L + T + B = 2πrh + 2(πr2) = twoπr(h+r)

** The area calculated is only the lateral surface of the outer cylinder wall. To calculate the total surface area you will need to too calculate the area of the top and bottom. Yous tin can do this using the circle calculator.

Cylinder Calculations:

Use the following additional formulas along with the formulas to a higher place.

  • Given radius and superlative calculate the volume, lateral surface area and total surface area.
    Calculate V, L, A | Given r, h
    • employ the formulas above
  • Given radius and volume summate the summit, lateral surface expanse and total surface area.
    Calculate h, L, A | Given r, V
    • h = V / πrtwo
  • Given radius and lateral surface area calculate the height, volume and total surface surface area.
    Calculate h, V, A | Given r, L
    • h = L/2πr
  • Given height and lateral surface area summate the radius, volume and total surface area.
    Summate r, V, A | Given h, L
    • r = L/iiπh
  • Given meridian and volume calculate the radius, lateral surface area and total surface area.
    Calculate r, L, A | Given h, V
    • $r = √( 5 / πh )

Source: https://www.calculatorsoup.com/calculators/geometry-solids/cylinder.php

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