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 2 years ago
Please help. :(
In the figure below, rectangle ABCD is rotated about side AB.
If Ab = 10 and BC = 4 , what is the volume of the resulting solid?
 2 years ago
Please help. :( In the figure below, rectangle ABCD is rotated about side AB. If Ab = 10 and BC = 4 , what is the volume of the resulting solid?

This Question is Closed

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1First, it helps to figure out what solid figure you'll get if you rotate this

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1Any ideas of what type of solid figure it will be?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1Imagine spinning this around AB (think of AB as stuck to the ground) and this rectangle is like a door. What you'll get is a cylinder.

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.1How'd you get that? Is that like common sense or something?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1I'm imagining it in my mind really, but you can grab a rectangular object and spin it along a side. You'll see that it traces out a cylinder.

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.1then i guess by rotates they mean folded kinda??

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1no it's not folding in any way

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1one moment while I track down an animation of this

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1hmm not finding much sadly, but think of a propeller blade

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.1It's alright. I got it. so what do i do after?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1When it's not moving, it's in one spot...but when it spins, it resembles a circle correct?

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.1Oh. Okay. So its a cyclinder. what do i do after?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1what's the height of the cylinder?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1and what's the radius of the top of the cylinder?

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.1but isn't the circumference 4?

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.1since the whole side BC is 4?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1that's not the circumference

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1that's actually the radius since that's as far as it goes in that direction

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1338517802914:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1338517841316:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1The rectangle will rotate about that dotted line (which is AB) to create that cylinder. So that's why the radius is 4.

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.1I don't really get how its four...

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1Do you see how that cylinder is created?

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.1how'd you get it? i still dont get how you created the cylinder like that..

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1I spun the rectangle around that dotted line. The cylinder represents the space that the rectangle carves out (think of the spinning rectangle as a saw or drill cutting into wood)

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.1but how is the radius 4? wouldn't it be 2?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1no, the radius is shown in the next drawing dw:1338519158344:dw

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1and that length is exactly the length of BC

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.1oh, so AB stays in one spot and The rest of the rectangle kinda like spun around to make the cylinder?

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1exactly, AB never move at all but the other points spin/move around

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1A and B never move as well

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.1ohhh, i get it. so is the answer 160 pi?

xRAWRRx3
 2 years ago
Best ResponseYou've already chosen the best response.1Yay :) thank you so much x)

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.1you're welcome
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