Acylinder has a 12-inch diameter and is 15 inches tall. it is filled to the top with water. a 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water. how much water is in the cylinder? give your answer in terms of pi.
a.576π in^3
b.591π in^3
c. 540π in^3
d.504π in^3

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

the answer is -1 for this question

step-by-step explanation:

i think this is a open ended question but i agree with other guy who said you should ask it at english section

x=25tan30=14.43 or the answer is b