The radius and height of a right circular cone are in the ratio 3:7. If the volume of the cone is 528 cm³, then what is the height of the cone? (Take π = 22/7)
A.14.0 cm✓ Correct
B.3.5 cm
C.10.5 cm
D.7.0 cm
Explanation
r=3k, h=7k. V = (1/3)π·9k²·7k = 21πk³ = 528. k³ = 528/(21·22/7) = 528·7/(21·22) = 8. k=2, h=14 cm.
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