SOLUTION: the radius of a certain brand of lollipop is 12mm the formula for the volume of a sphere is V=(4/3)(pie)(r)^3. what is the volume of the lollipop? if you are licking at a rate of

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Question 150283: the radius of a certain brand of lollipop is 12mm
the formula for the volume of a sphere is V=(4/3)(pie)(r)^3. what is the volume of the lollipop? if you are licking at a rate of 1 lick every 5 seconds, and each lick you take removes 40mm^3 from the volume of the lollipop. how many seconds does it take until the lollipop is consumed? how many licks? if you're dealing with a lollipop with bubble gum in the center, how many licks will it take to get to the center, if the gum has a radius of 5 mm. write an equation that tells you the volume of the lollipop in terms of L, the number of licks. write an equation that tells you the radius of the lollipop in terms of L.
Found 2 solutions by jojo14344, ankor@dixie-net.com:
Answer by jojo14344(1513) (Show Source):
You can put this solution on YOUR website!
1) For the Volume of lollipop ----> direct substitution, with given ;
=

2) Since for every
By Ratio & Proportion,
=

There you go, you need to take 181 licks to finish the whole lollipop.
If you cross multiply, you get the to finish it,

3) If there's a gum in the center w/ radius 5mm:
To get to the center, we subtract this radius from the radius of the lollipop and mark as to be used.
= --> used to get the new volume
For the Volume= =
Again by Ratio & Prop.
== before you get to the center where the gum is.
Again, you cross multiply for the time frame,

Thank you,
Jojo

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
the radius of a certain brand of lollipop is 12mm
the formula for the volume of a sphere is V=(4/3)(pie)(r)^3. what is the volume of the lollipop?
:
V =
V =
V = 7238.23 cu mm
;
:
if you are licking at a rate of 1 lick every 5 seconds, and each lick you take removes 40mm^3 from the volume of the lollipop. how many seconds does it take until the lollipop is consumed?
t = * 5
t = 904.78 seconds
:
how many licks?
L =
L = 181 licks
:
if you're dealing with a lollipop with bubble gum in the center, how many licks will it take to get to the center, if the gum has a radius of 5 mm.
:
Find the volume of the gum center
V =
V =
V = 523.6 cu mm is the gum
:
L =
L =
L = 168 licks
;
write an equation that tells you the volume of the lollipop in terms of L, the number of licks.
:
Using the volume containing the gum
:
V = 6715 - 40L
:
write an equation that tells you the radius of the lollipop in terms of L.
:
Using the one containing the gum;
r = 12 - L