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Mathematics 9 Online
OpenStudy (anonymous):

pleeeaase help! question posted in comments

OpenStudy (anonymous):

OpenStudy (mathstudent55):

It looks correct to me.

OpenStudy (anonymous):

i'm asking how to solve it.

OpenStudy (mathstudent55):

It's all done there for you to see.

OpenStudy (mathstudent55):

I can explain each area.

OpenStudy (anonymous):

do i solve for the volume of the cylinder first?

OpenStudy (mathstudent55):

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OpenStudy (mathstudent55):

What cylinder? You posted a fully solved problem about the surface area of a triangular prism. There is no cylinder.

OpenStudy (anonymous):

oops! i must have posted the wrong question.

OpenStudy (mathstudent55):

ok

OpenStudy (anonymous):

OpenStudy (mathstudent55):

Try again. I'll try to help.

OpenStudy (anonymous):

fixed it

OpenStudy (mathstudent55):

Ok. First we need to find the volume of the tank. \(\Large V_{cylinder} = \pi r^2 h\)

OpenStudy (anonymous):

i got 11

OpenStudy (anonymous):

11.3619 to be exact

OpenStudy (mathstudent55):

You have the height and diameter of the cylindrical tank. You need the height and radius for the formula. If the diameter of the base is 2.2 ft, what is the radius of the base?

OpenStudy (mathstudent55):

That is the volume?

OpenStudy (anonymous):

yes, that's what i got for the volume.

OpenStudy (anonymous):

okay, so 11

OpenStudy (mathstudent55):

I get exactly 11.3982 ft^3

OpenStudy (mathstudent55):

Now you are told that the tank fills at a rate of 2.5 ft^3 per minute. Divide the volume by the rate to get the number of minutes.

OpenStudy (mathstudent55):

Notice they tell you to not round off any intermediate result. Keep the volume 11.3982 for this calculation.

OpenStudy (mathstudent55):

BTW, above you must have accidentally pressed the wrong key in your calculator because you used pi = 3.13. It should be pi = 3.14.

OpenStudy (anonymous):

oh okay, let me try

OpenStudy (anonymous):

so now it's 11.3982 divided by 3?

OpenStudy (mathstudent55):

That is why you got the exact volume of 11.3619 when it should be 11.3982

OpenStudy (mathstudent55):

No. What is the rate of filling the tank? It's not 3 ft^3/min.

OpenStudy (mathstudent55):

Divide by the filling rate.

OpenStudy (anonymous):

the rate is 2.5

OpenStudy (mathstudent55):

Correct. 11.3982/2.5

OpenStudy (anonymous):

i got 4.55928

OpenStudy (mathstudent55):

Exactly. Now round off to the nearest minute.

OpenStudy (anonymous):

5?

OpenStudy (mathstudent55):

In other words, round off 4.55928 to the nearest whole number.

OpenStudy (mathstudent55):

Correct.

OpenStudy (mathstudent55):

Answer is 5

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