SOLUTION: Please help me solve the following problem! You have a full cylindrical glass of water that stands 8 inches tall and has a radius of 1.5 inches, if you pour the water into a larger

Algebra ->  Volume -> SOLUTION: Please help me solve the following problem! You have a full cylindrical glass of water that stands 8 inches tall and has a radius of 1.5 inches, if you pour the water into a larger      Log On


   

Question 815670: Please help me solve the following problem! You have a full cylindrical glass of water that stands 8 inches tall and has a radius of 1.5 inches, if you pour the water into a larger cylindrical glass that stands 12 inches tall and has a radius of 2.5 inches, how much more water would the larger glass be able to hold? round answer to the nearest hundredth. i would greatly appericate the help thank you
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
FULL GLASS
v=h%2Api%2Ar%5E2
v=8%2Api%2A%281.5%29%5E2

PART FULL GLASS
V=12%2Api%2A2.5%5E2, capacity, but you want to know the difference between this and v.

You are looking for highlight%28V-v=12%2Api%2A2.5%5E2-8%2Api%2A1.5%5E2%29 and simplification or even FACTORIZATION will be useful in solving this difference.
highlight%28V-v=12%2Api%2A%285%2F2%29%5E2-8%2Api%2A%283%2F2%29%5E2%29
PLEASE try to factor this on your way to computing this difference.