the vertical height of a right circular cone is three times its diameter and its volume is 54 pie cm cube. find its height.
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Answer:
cone:
h=3r,r=h/3
vol=54πcm3
1/3πr^2h=54π
1/3xπx(h/3) 2xh=54π
1/3πxh^2/9xh=54π
πh^3=54πx3x9
h^3=54πx27/π = 54x27
h^3=1458
h = 3 v1458=11.34cm
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