Question 1198554
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VL = volume of cylinder
VC = volume of cone


VC = VL since we're told these particular cone and cylinder have equal volume.


HL = height of the cylinder
HC = height of the cone


AL = area of the cylinder circular base
AC = area of the cone circular base
AC = (2/3)*AL


VL = (area of base)*(height)
VL = (AL)*(HL)


VC = (1/3)*(area of base)*(height)
VC = (1/3)*(AC)*(HC)
VC = (1/3)*((2/3)*AL)*(HC)
VL = (2/9)*AL*HC
(AL)*(HL) = (2/9)*AL*HC
HL = (2/9)*HC
HL/HC = 2/9
HC/HL = 9/2


The ratio of the cone's height (HC) over the cylinder's height (HL) is 9/2.
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