PLS HELP If a cone has a volume of 75.36 cubic feet and a radius of 6 feet, what is the height of the cone? (Use 3.14 for .)
O2 feet
3.46 feet
06 feet
04 feet

the answer is c just got it on ed

step-by-step explanation:

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