The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is
Ratio of diameter = Ratio of radius
Let the radius of the two cylinders be 3 cm and 2 cm respectively.
Let the heights be $$h_1$$ and $$h_2$$ respectively.
Volume of cylinder = $$\pi r^2h$$
According to ques,
=> $$\pi(3)^2h_1=\pi(2)^2h_2$$
=> $$9h_1=4h_2$$
=> $$\frac{h_1}{h_2}=\frac{4}{9}$$
=> Ans - (D)
Create a FREE account and get: