## anonymous one year ago Snowy's Snow Cones has a special bubble gum snow cone on sale. The cone is a regular snow cone that has a spherical piece of bubble gum nested at the bottom of the cone. The radius of the snow cone is 4 inches, and the height of the cone is 6 inches. If the diameter of the bubble gum is 0.8 inches, which of the following can be used to calculate the volume of the cone that can be filled with flavored ice?

1. anonymous

1 over 3(3.14)(62)(4) − 4 over 3(3.14)(0.43) 1 over 3(3.14)(42)(6) − 4 over 3(3.14)(0.43) 1 over 3(3.14)(62)(4) − 4 over 3(3.14)(0.83) 1 over 3(3.14)(42)(6) − 4 over 3(3.14)(0.83)

2. anonymous

@peachpi

3. anonymous

you want to subtract the volume of the sphere from the volume of the cone. cone: $V=\frac{ \pi }{ 3 }\pi r^2h$ r = radius, h = height sphere: $V=\frac{ 4 }{ 3 }\pi r^3$ r = radius

4. anonymous

Ok so V of cone=pi/3pi4^2x6

5. anonymous

and V of sphere= 4/3pi4^3?

6. anonymous

the cone is right. The sphere should be (4/3)π(0.4)^3

7. anonymous

Oh alright, so then i subtract pi/3pi4^2x6-(4/3)pi(o.4)^3

8. anonymous

yes

9. anonymous

wait hold up. I put an extra π in the cone equation by mistake. There should only be one π there

10. anonymous

so it would pi over 3? or pi r squared?

11. anonymous

it would be pi*

12. anonymous

@peachpi

13. anonymous

It's (π/3)r²h so (π/3)(4^2)(6)

14. anonymous

I got 66.87

15. anonymous

No wait sorry

16. anonymous

that's not what they're asking for lol

17. anonymous

yeah, actually looking at your choices they just want you to set it up, not solve for a number

18. anonymous

Yeah my bad, so the answer would be the 2nd option then

19. anonymous

1 over 3(3.14)(4^2)(6) − 4 over 3(3.14)(0.4^3)

20. anonymous

yes

21. anonymous

alright thanks lol i have this super complex question if u can solve it i will be eternally grateful!!

22. anonymous

i'll give it a try