SOLUTION: A paper drinking cup is in the shape of a cone. The angle at the bottom of the cone is 280and the slant height of the cone is 10 cm.Determine the maximum volume of water thatthis

Algebra ->  Trigonometry-basics -> SOLUTION: A paper drinking cup is in the shape of a cone. The angle at the bottom of the cone is 280and the slant height of the cone is 10 cm.Determine the maximum volume of water thatthis       Log On


   



Question 1024148: A paper drinking cup is in the shape of a cone. The angle at the bottom of the cone is 280and the slant height of the cone is 10 cm.Determine the maximum volume of water thatthis cup can hold.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A paper drinking cup is in the shape of a cone. The angle at the bottom of the cone is 280and the slant height of the cone is 10 cm.Determine the maximum volume of water thatthis cup can hold.
-----------
280 must be the exterior angle --> 100 degs internal.
The sides are 50 degs from the axis of the cone.
---
Height = 10*cos(50) =~ 6.428 cm.
Radius = 10*sin(50) =~ 7.66 cm
Vol+=+pi%2Ar%5E2%2Ah%2F3