A cone has a volume of 24 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?

Question

campbell_st · Answer

the volume of the cylinder is 

$$V_{cylinder} = \pi r^2h$$

the cone with the same height and radius is 

$$V_{cone} = \frac{1}{3} \pi r^2 h$$

using a little substitution you can find 

$$V_{cone} = \frac{1}{3} \times V_{cylinder}$$

since you know the volume of the cone it should be easy to find the volume of the cylinder..