Question

Your friend brings hot chocolate to school in the cylindrical thermos and drinks from her cylindrical mug shown.

Answer 1

Volume=height times area of base
base=circle so area of base=pir^2
ok so solume=height times pi times r^2


1.
thermos, h=10, r=2
therefor
 volume=10pi2^2=
 volume=10pi4=
40pi in^3 is brought to school


2. inside is 4 inches deep
h=4, r=1.5
volume=4pi1.5^2
volume=4pi2.25
volume=9pi
answer is 9pi in^3


3. so find 80% of 9pi
80%=0.8
0.8 times 9pi=7.2pi in^3
each times is 7.2pi in^3


4. ok so this is assuming that you fill the mug to 80% (7.2pi) each time and the remainder is it less or more or equal to half of 7.2pi so

total in thermos=40pi
each pour=7.2pi
40pi-7.2pi-7.2pi-7.2pi-7.2pi-7.2pi=4pi
is 4pi more or less than 7.2pi
7.2pi/2=3.6pi
4pi>3.6pi
it is MORE


1. 40pi in^3
2. 9pi in^3
3. 7.2pi in^3
4. MORE than half