## anonymous one year ago The volume of a cone that fits exactly inside a cylinder is 20 cubic feet. What is the volume of the cylinder? (5 points) Select one: a. 4 cubic feet b. 5 cubic feet c. 40 cubic feet d. 60 cubic feet

1. anonymous

2. anonymous

3. anonymous

4. phi

can you draw a picture of this problem?

5. anonymous

there is no picture

6. phi

yes, I would guess not. But can you draw the picture ?

7. anonymous

oh ill try

8. anonymous

|dw:1432753887485:dw|

9. anonymous

I'm sorry I'm a little confused

10. phi

It would look like this |dw:1432754046569:dw|

11. anonymous

oh okay

12. phi

the important idea is that the cone has the same radius and same height as the cylinder the volume of a cone is $V_{cone}= \frac{1}{3} \pi r^2 h$ the volume of the cylinder is $V_{cylinder}= \pi r^2 h$ if r and h are the same in both equations, then the cone is 1/3 the volume of the cylinder

13. phi

or, in other words, the cylinder is 3 times bigger volume than the cone. if the cone is 20, what is 3 times bigger than that ?

14. anonymous

80?

15. phi

what is 3*20 ?

16. anonymous

oh my ad it's 60 i miscalculated

17. anonymous

18. anonymous

so the it would be 60 for the answer?

19. phi

yes

20. anonymous

thank you so much! I really appreciate you taking the time to help me!:)

21. phi

yw