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?

Question

anonymous · Answer

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)

anonymous · Answer

@peachpi

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

yes

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

it would be pi*

anonymous · Answer

@peachpi

anonymous · Answer

It's (π/3)r²h so (π/3)(4^2)(6)

anonymous · Answer

I got 66.87

anonymous · Answer

No wait sorry

anonymous · Answer

that's not what they're asking for lol

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

yes

anonymous · Answer

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

anonymous · Answer

i'll give it a try