V = 1/3πh ( R12 + R22 + R1R2 )
Chat with our AI personalities
Yes, it must because a frustum is only a part of a cone.
A frustum of a cone is that part of the surface of a cone between two planes perpendicular to the axis of the cone; if a cone has base radii r1 and r2 and slant height h, then its area, A is given byA = 2*pi*h*(r1+r2)/2cited from Varberg and Purcell's Calculus textbook, 9ed.; p299.
You get a frustum.
The frustum of a cone looks like a plant pot and its curved surface area is: pi*(r1+r2)*l whereas r1 is the top radius and r2 is the bottom radius with l being its slanted length.
It's a frustum! to find the area of this figure you need to take the area of the entire cone and subtract the area of the mini cone. Let me explain.If you keep extending thesideofthe figure into the direction of the smaller circle, it creates a cone, right? so take volume (1/3 area of base * height) of the entire extended cone (whose base is the bigger circle to the vertex). Then take the volume of the top cone(whose base is the small circle to the vertex). Subtract the small one from the big one, and it gives you the area of the frustum.