The volume of the solid formed by revolving an equilateral triangle around any of its sides of length 2 is π /√3 units .
From the diagram we can see that the washer method will be used to calculate the are of the solid formed.
The solid formed is in the form of a cone.
Volume of a cone = 1/3 πr²h
Here the radius of the cone = diameter / 2 = 2/2 = 1 units.
Height of the cone is calculated using the Pythagoras theorem of a right angled triangle
radius² + height² = side ²
or, height² = 4 - 1
or, height = √3
Volume of the cone = 1/3 πr²h
Substituting the values we get:
V = 1/3 π 1²√3 = π /√3
Therefore the volume of the cone thus formed is π /√3 cubic units.
A cone is made up of a collection of line segments, half-lines, or lines that connect the apex—the common point—to every point on a base that is in a plane other than the apex.
The base may only be a circle, any closed one-dimensional figure, any one-dimensional quadratic form in the plane, or any combination of the above plus all the enclosed points, depending on the author.
To learn more about volume visit:
https://brainly.com/question/13084284
#SPJ4
