v = (1/3) base area * height for anything pointy with straight sides
slant height = R
cut away sector angle a
sector angle remaining = 2pi-a
base radius remaining =r= 2piR(2pi-a)/2pi
= R(2 pi-a)
height h = sqrt(R^2-r^2)
v = (1/3)(pi r^2)h
plug and chug
A conical drinking cup is made from a circular piece of paper of radius R inches by cutting out a sector and joining the edges CA and CB. Find the radius, height and volume of the cone of greatest volume that can be made this way
1 answer
1 answer