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