SOLUTION: The vertical angle of an inverted cone is 90 degrees. Water is poured into the cone to a depth of 24 cm. a) Find the exact area of the surface of the water. b) Find the ex

Algebra ->  Surface-area -> SOLUTION: The vertical angle of an inverted cone is 90 degrees. Water is poured into the cone to a depth of 24 cm. a) Find the exact area of the surface of the water. b) Find the ex      Log On


   

Question 1117749: The vertical angle of an inverted cone is 90 degrees. Water is poured into the cone to a depth of 24 cm.
a) Find the exact area of the surface of the water.

b) Find the exact area of the water in contact with the cone.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


a) If the vertex angle of the cone is 90 degrees and the cone is filled to a depth of 24cm, then the radius of the surface of the water is 24cm. Then the area of the surface of the water is %28pi%29r%5E2+=+576pi.

b) The area of the water in contact with the cone is the lateral surface area of a cone: pi times the radius of the base times the slant height.

%28pi%29%28r%29%28l%29+=+%28pi%29%2824%29%2824sqrt%282%29%29+=+576pi%2Asqrt%282%29