Question

A cylinder and a cone have equal radii of their bases and equal heights. Show that their volumes are in the ratio $$3:1$$.

Answer 1

We have,

$$r_1=r_2$$ and $$h_1=h_2$$

$$\therefore \dfrac{Volume of cylinder}{Volume of the cone}=\dfrac{\pi r^2_1h_1}{\dfrac{1}{3}\pi r^2_2h_2}=\dfrac{3}{1}$$.