A cylinder and cone have bases of equal radii and are of equal heights. What are the ratios of their volumes?

# A cylinder and cone have bases of equal radii and are of equal heights. What are the ratios of their volumes?

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### Solution:

The radius of the cone = $\mathrm{r}$

Height of the cone = h

The volume of the cone $=\frac{1}{3}{\mathrm{\pi r}}^{2}\mathrm{h}$

The radius of the cylinder = r

Height of the cylinder = h

The volume of the cylinder = ${\mathrm{\pi r}}^{2}\mathrm{h}$

The ratio of the volume of the cylinder and cone = 3:1

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