randallkaila1996
Answered


A cone-shaped container has a height of 240 in. and a radius of 150 in. The cone is filled with a liquid chemical. The chemical evaporates at a rate of 12,000 in3 per week.



How many weeks will it take for all of the chemical to evaporate?

Use 3.14 to approximate pi.



Answer :


volume of a cone=1/3 times height times area of base
area of base=circle
circle=pi times radius^2
aprox pi at 3.141592

3.141592 times 150^2=70685.8
1/3 times 240 times 70685.8
80 times 70685.8
5654865.6 in^3 =volume

so 12000 per week

so voumue/volume per week=weeks

5654865.6/12000=471.239
the rounded answer is 471
volume of a cone=1/3 times height times area of base
area of base=circle

circle=pi times radius²
aprox pi at 3.141592
3.141592 times 150²=70685.8
1/3 times 240 times 70685.8
80 times 70685.8
5654865.6 in³ =volume
so 12000 per week

so volume/volume per week=weeks
5654865.6/12000=471.239