## anonymous one year ago Find the diameter of a cone that has a volume of 104.67 cubic inches and a height of 4 inches. Use 3.14 for pi. 4 inches 6 inches 8 inches 10 inches

1. anonymous

the first thing is the formula, what is the formula?

2. anonymous

Im not sure

3. anonymous

let that equal your volume i.e. $pixr^2x (h/3) = 104.67 cm^3$

4. anonymous

Now, you are given the height = 4 inches so, $\pi x r^2 x (4/3) = 104.67 cm^3$

5. anonymous

Yes

6. anonymous

now, lets isolate the r^2

7. anonymous

so $\pi x (4/3) =$

8. anonymous

roughly 4.18879

9. anonymous

so now you have 4.18879 r^2 = 104.67 cm^3

10. anonymous

dividing across, we get $104.67cm^3/4.18879 = 24.988 cm^3$

11. anonymous

Okay

12. anonymous

r^2 = 24.988cm^3

13. anonymous

Sorry im so confused with this question

14. anonymous

$r= \sqrt{24.988}$

15. anonymous

r= 4.99

16. anonymous

OH

17. anonymous

So its ten

18. anonymous

try it now: $V= \pi x r^2 x (h/3)$

19. anonymous

$V= \pi x (5)^2 x (4/3)$

20. anonymous

Now since r= 5, and d= 2r, then the diameter must be 10inches

21. anonymous

Yes i get it now thank you so much

22. anonymous

You're very welcome!