## gandako Group Title suppose the lateral area of a right circular cone and the area of a sphere is equal 64π inches^2. if the radius of the sphere and the radius of the base of the cone are equal, what is the volume of the cone? one year ago one year ago

1. Miyuru Group Title

Is the question complete..? :D

2. gandako Group Title

3. Miyuru Group Title

|dw:1350220886630:dw|

4. gandako Group Title

i really don't know how it looks like,but i guess what you did was right. :)

5. gandako Group Title

how can I find the total area and volume?:(

6. experimentX Group Title

what's the prism ? what's pyramid? make your figure properly ... this shouldn't be difficult.

7. experimentX Group Title

|dw:1350221237912:dw|

8. gandako Group Title

regular hexagonal prism with 10-in long sides and apothem of length 9-in long. uhh, yeah! I think so.

9. experimentX Group Title

|dw:1350221347921:dw| |dw:1350221367792:dw|

10. Miyuru Group Title

|dw:1350221334283:dw|

11. gandako Group Title

miyuri what is 12 there?

12. gandako Group Title

experimentX yeah but how can i find the volume and total area?

13. Miyuru Group Title

It would be essential in finding the volume...

14. Miyuru Group Title

To find the total area multiply the area of triangle by 6 + area of hexagon..

15. experimentX Group Title

volume of pyramid = 1/3* area of hexagon * height

16. experimentX Group Title

for surface area ... |dw:1350221785183:dw|

17. experimentX Group Title

|dw:1350221947122:dw|

18. Miyuru Group Title

Total area = $(\frac{15*10}{2}*6)+(\frac{10*9}{2}*6)$

19. experimentX Group Title

yeah ... looks like that's correct!!

20. gandako Group Title

Gee! thanks a lot!!!!! but how is this? find the volume of the region outside the pyramid and inside the prism.

21. experimentX Group Title

find the volume of pyramid ... find the volume of prism ... subtract 1 from 2

22. Miyuru Group Title

Volume = $(\frac{10*9}{2}*6)*\frac{1}{3}*12 - (\frac{10*9}{2}*6*12)$

23. experimentX Group Title

lol ... you did the opposite? is height 12??

24. Miyuru Group Title

I took the height of the pyramid...

25. experimentX Group Title

should be something like this if 12 is height $- (\frac{10*9}{2}*6)*\frac{1}{3}*12 + (\frac{10*9}{2}*6*12)$

26. Miyuru Group Title

Oops yeah @experimentX I changed the sides of the equation... :D

27. experimentX Group Title

well ...i guess that it is!!

28. gandako Group Title

so 4320 is the volume?=)

29. gandako Group Title

What is the area of the base and the height?

30. Miyuru Group Title

Yeah @gandako U are correct.. volume=4320

31. Miyuru Group Title

I found the height from the triangle drawn above.. x=12

32. gandako Group Title

but how about the are of the base @Miyuru ?

33. Miyuru Group Title

Base = side of the hexagon

34. gandako Group Title

i can't understand:(

35. Miyuru Group Title

From which step are you confused?

36. gandako Group Title

here: volume of pyramid=1/3 * area of the base *height how can get the are of the base?

37. Miyuru Group Title

Here the base is the hexagon and it's area is six times the area of a triangle...

38. gandako Group Title

6 x bh/2 is this? what is the value of b in there?

39. Miyuru Group Title

b = 10