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Mathematics 18 Online
OpenStudy (isuckatschool43):

please help with 1 question i will fan and medal

OpenStudy (isuckatschool43):

OpenStudy (mathmate):

Diameter equals two times the radius, or radius = half of diameter. Therefore with diameter = 30", radius = 30/2=15". So take out your calculator, use \(\pi\)=3.14, r=15, h=17, and calculate using the given formula V=\(\frac{1}{3}\pi r^2 h\) to calculate the volume, and make your choice accordingly.

OpenStudy (isuckatschool43):

I got 4003.5 @mathmate

OpenStudy (mathmate):

Oh, sorry, my bad. h does not equal 17. The slant height is 17. So you have to solve for h using Pythagoras: 15^2+h^2=17^2. And the rest should be ok.

OpenStudy (isuckatschool43):

I'm confused now @mathmate

OpenStudy (mathmate):

Can you solve for from the Pythagoras equation?

OpenStudy (isuckatschool43):

I don't really understand this kind of math...

OpenStudy (mathmate):

Here, using the right triangle HDN, and apply Pythagoras theorem, \(15^2+h^2=17^2\) transpose \(h^2=17^2-15^2\) Solve for h: \(sqrt(h^2)=sqrt(17^2-15^2)\) \(h=sqrt(289-225)=sqrt(64)=8\) Now apply the volume formula with h=8 (instead of 17) to calculate volume using your calculator. Good luck!

OpenStudy (isuckatschool43):

d?

OpenStudy (mathmate):

Did you work out the volume, and what did you get?

OpenStudy (isuckatschool43):

what do i put into the calculator? 15^2+8^2=17^2?

OpenStudy (mathmate):

I have already worked out this part for you to get h=8. You need to rework the volume using \(V=\frac{1}{3}\pi r^2 h\), and r=15, h=8.

OpenStudy (isuckatschool43):

1884

OpenStudy (mathmate):

Good! you have the correct answer!

OpenStudy (isuckatschool43):

thanks

OpenStudy (mathmate):

You're welcome!

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