# GEOM 1 | Lesson 3 | Explore Solution

Guessing that there might be around 2000.

You could find the volume of the vase:  $$V = π(3)^2(36)$$  or approximately $$1017.88$$ cu in

Volume of a marble:  $$V = \frac{4}{3}π(.5)^3$$ or approximately $$.52$$ cu in

Dividing the two volumes:  There would be approximately 1957.5.

If there were 1957 then it would take 196 days to reach the top.  If the teacher put in 12 each day, then the party would be on the 164th day.