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Answer:
Part 1) The new distance from the water to the top of the tank is
Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95
Step-by-step explanation:
step 1
Find the total volume of the tank
step 2
Find the volume of the tank if the water level is two inches below the top of the tank
step 3
Find the volume of the glass sphere
The volume of the glass sphere is equal to
we have
assume
substitute
step 4
What is the new distance from the water to the top of the tank?
we know that
so
using proportion
Find how many inches correspond a volume of
The new distance from the water to the top of the tank is
step 5
Find how many of these balls can be put into the tank with the tank not overflowing
we know that
The volume of one ball is equal to
using proportion
therefore
The maximum number of balls that can be put into the tank with the tank not overflowing is 95
