Question 1180619: https://media.discordapp.net/attachments/723023718497910816/844346447100248094/unknown.png Found 2 solutions by josgarithmetic, greenestamps:Answer by josgarithmetic(39618) (Show Source):
Sorry; I don't know how to draw a good diagram....
Consider the circular cross section of the cylinder with center O and the level of the water indicated by segment AB. Let P be on AB such that OP is perpendicular to AB.
Because OP=3 and the radius of the cylinder is 6, triangle AOB is composed of two congruent 30-60-90 right triangles.
Find the area of the cross section of the water as
(1) total area of the circular cross section; minus
(2) the area of the sector AOB; plus
(3) the area of triangle AOB
Then multiply that area by the 24-inch length of the cylinder to get the volume of water.
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