Answer to Question #105629 in Trigonometry for Maria

Question

a cone and a cylinder have equal volumes and bases of the same diameter.If the height of the cone is 27cm, what is the height of the cylinder

Answer 1

Volume of cone,V₁=Volume of cylinder,V₂

Base of Both have same diameter

Therefore base of both have same radius,r₁=r₂=r

=> πr²h₁/3 =πr²h₂

=> h₁/3=h₂

h₁=27 (given)

=> h₂=9 cm