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?
:
V = {{{(4/3)pi*12^3}}}
V = {{{(4/3)pi*1728}}}
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 = {{{7238.23/40}}} * 5 
t = 904.78 seconds 
:
how many licks?
L = {{{7238.23/40}}}
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 = {{{(4/3)pi*5^3}}}
V = {{{(4/3)pi*125}}}
V = 523.6 cu mm is the gum
:
L = {{{(7238.23-523.6)/40}}}
L = {{{6715/40}}}
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{{{(12/168)}}}