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In this question, you are given the volume of cylinder (24
cubic unit) and the ratio of the height:radius (3:1). Putting it into equation, it will look like this:
volume= 24 cubic unit
height = 3 radius
radius = 1/3 height
Using the volume formula of cylinder you will got the height
Volume= * radius * radius * height
24 cubic unit = *(1/3 height) * (1/3 height) * height
24 cubic unit / = 1/9 height cubic
1/9 height cubic = 24 cubic unit
height cubic = 24*9= 216 cubic unit
height=∛216 cubic unit= 6 unit
volume= 24
height = 3 radius
radius = 1/3 height
Using the volume formula of cylinder you will got the height
Volume=
24
24
1/9 height cubic = 24 cubic unit
height cubic = 24*9= 216 cubic unit
height=∛216 cubic unit= 6 unit