math problem?????????

Question

the radius of a certain brand of lollipop is 12 mm.

A. the formula for the volume of a sphere is v= (4/3) pi (r)3
. what is the volume of the lollipop?

B. if u are licking at a rate of 1 lick every 5 seconds, and each lick u take removes 40 mm3 from the lollipop. how many seconds does it take until the lollipop is conumed?
how many licks?

C. if u are dealing with a lollipop with bubble gum in the center, how many licks will it take to get to the center, it the gum has radius of 5 mm?

D. write an equation that tells u a volume of the lollipop in terms of L, the number of licks.

*E. write an equation that tells you the radius of the lollipopin terms of L.

Answer 1

1.4/3*3.14*12^3=7234.6mm^3

2.no of licks=7234.6/40=180.8 say 181 licks

3.volume of the bubble gum=4/3*3.14*5^3=523.3mm^3
so volume to be licked before reachingthe gum
=7234.6-523.3
no of licks before reaching the gum=168 licks

4.volume of the lollipop=40L
where 40 is the volume removed per lick and L,the no of licks

5.4/3 pi r^3=40L
r^3=40L(3/(pi))
r=cube root of 40L{3/(4pi)}

Answer 2

Hmmm...

I'm not sure that the rate of lollipop consumption per lick (LCPL) will remain constant, due to the variables of tongue flexibility (TF), lollipop rotation (LR) and the decrease in the lollipop's surface area (DLSA).

If the LCPL varies in direct proportion to TF and LR, it is virtually impossible to resolve the problem, and if the HTBBIWTB (Have To Bite Because I Want The Bubblegum) factor is taken into account , which multimillion-dollar goverment research shows will happens in 47.21% of cases, then the whole calculation has just become a waste of time.

Like this answer...

Seriously, though, if you assume the LCPL is constant it's pretty easy. Just make sure that your answer for the time has some relation to five-second intervals. The problem is that a single lick takes a certain amount of time, but that data is missing. One every five seconds? Fine, but how long is each lick?

If your teacher set you this one then ask him/her for a bit more data. Otherwise you can't really do the calculation. IMHO,anyway.

Good luck.

PS I'd suggest a series of laboratory tests, with all lollipops supplied by the school!!

Answer 3

A. 7234.56 cubic mm.
B. 904.32 secs
181 licks
C. 168
D. V = 180.864L
E. r = 3.51*(L)^(1/3)
Hope this helps....

Answer 4

Ouch! My Head! Bush would have a stroke if he had to do that math problem