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Mathematics 8 Online
OpenStudy (ishipdestiel):

The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 15 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.

OpenStudy (ishipdestiel):

OpenStudy (phi):

They are not very clear, but it sounds like each tank is |dw:1461347616612:dw|

OpenStudy (phi):

so find the volume of a cylinder with radius 15 and height 120 using V = pi r^2 h

OpenStudy (ishipdestiel):

42411.5008235? Did i do it right?

OpenStudy (smartnerd1111):

Since the formula for cylinders volume is V=πr2h, you would just plug in the the feet and the height.

OpenStudy (ishipdestiel):

I think its 42411.5008235. Is this right?

OpenStudy (ishipdestiel):

@smartnerd1111

OpenStudy (smartnerd1111):

no

OpenStudy (smartnerd1111):

use this 3.14*15^2*120

OpenStudy (ishipdestiel):

ok let me try again

OpenStudy (ishipdestiel):

oh ok i understand now 84780

OpenStudy (smartnerd1111):

corrrrrrrrrrrrecttttttt the volume is 84,780ft for one whole tank, but the tanks are half of a cylinder, so that means that the volume would be half of what the whole would be.

OpenStudy (ishipdestiel):

so 42390

OpenStudy (ishipdestiel):

Thank you so much!!!

OpenStudy (smartnerd1111):

yes one tank volume would be 42,390ft. Now we would multiply that by two to get the volume of both tanks which is 84,780ft. The volume of both tanks are 84,870ft.

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