how to find lateral area of a cone

Cone Calculator

This cone calculator can help y'all calculate the book, surface area, base of operations & lateral surface area, radius or height & slant summit of a right round cone if you provide the required dimensions.

Well-nigh often used cone formulas when radius (r) and height (h) are known

■ Slant height of a cone (due south) = √(r² + h²)

■ Base surface surface area of a cone (BA) = πr²

■ Lateral surface surface area of a cone (LA) = πrs = πr√(r² + hⁱⁱ)

■ Full surface expanse of a cone (TA) = LA + BA = πrs + πrⁱⁱ = πr(s + r) = πr(r + √(r² + h²))

■ Volume of a cone (V) = (i/3)πr²h

How does this cone calculator work?

The algorithm of this circular cone reckoner is based on the formulas provided hither:

■ In case you lot choose to solve for radius (r) yous have to provide the height (h) and the slant height (due south) then:

■ If you choose to compute the acme (h) the you have to know both the radius (r) and the slant height (southward):

■ In case you select to determine the slant meridian (s) then you have to input both the radius (r) and height (h):

■ If you choose to calculate the area (TA) then you have to know the radius (r) and the elevation (h):

■ In case you want to make up one's mind the lateral surface surface area (LA) then you have to specify the radius (r) and the height (h):

■ In case you want to estimate the base expanse (BA) then you accept to provide but the radius (r):

■ Finally in instance yous desire to calculate the volume (5) and then you have to give both the radius (r) and the height (h):

Other cone formulas

Autonomously from the equations provided above, depending on the given variables in that location are few other cone formulas that may be useful:

■ Yous can figure out easily the radius (r) value in case yous know top (h) and volume (V) by this formula:

■ You can likewise determine the radius (r) if you provide the slant height (s) and the lateral surface surface area (LA) by this equation:

■ Y'all tin can compute the height (h) in case you know the radius (r) and the book (V):

■ You can determine the slant peak (s) in case yous accept values for radius (r) and lateral surface area (LA):

■ You lot tin as well compute the slant acme (southward) in case you know the radius (r) and surface area (TA):

Where:

r = radius

h = meridian

south = slant height

LA = lateral surface surface area

BA = base surface surface area

TA = total surface area

V = volume

√ = square root

π = pi = iii.14159

28 Jul, 2015

Source: https://www.thecalculator.co/math/cone-calculator-747.html

Posted by: thomashiplent.blogspot.com

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