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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?
 one year ago
 one year 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?
 one year ago
 one year ago

This Question is Closed

xRAWRRx3Best ResponseYou've already chosen the best response.1
dw:1338516177766:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
First, it helps to figure out what solid figure you'll get if you rotate this
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
Any ideas of what type of solid figure it will be?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
Imagine 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.
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.1
How'd you get that? Is that like common sense or something?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
I'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.
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.1
then i guess by rotates they mean folded kinda??
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
no it's not folding in any way
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
one moment while I track down an animation of this
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
hmm not finding much sadly, but think of a propeller blade
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.1
It's alright. I got it. so what do i do after?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
When it's not moving, it's in one spot...but when it spins, it resembles a circle correct?
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.1
Oh. Okay. So its a cyclinder. what do i do after?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
what's the height of the cylinder?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
and what's the radius of the top of the cylinder?
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.1
but isn't the circumference 4?
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.1
since the whole side BC is 4?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
that's not the circumference
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
that's actually the radius since that's as far as it goes in that direction
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1338517802914:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
dw:1338517841316:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
The rectangle will rotate about that dotted line (which is AB) to create that cylinder. So that's why the radius is 4.
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.1
I don't really get how its four...
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
Do you see how that cylinder is created?
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.1
how'd you get it? i still dont get how you created the cylinder like that..
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
I 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)
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.1
but how is the radius 4? wouldn't it be 2?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
no, the radius is shown in the next drawing dw:1338519158344:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
and that length is exactly the length of BC
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.1
oh, so AB stays in one spot and The rest of the rectangle kinda like spun around to make the cylinder?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
exactly, AB never move at all but the other points spin/move around
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
A and B never move as well
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.1
ohhh, i get it. so is the answer 160 pi?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you nailed it
 one year ago

xRAWRRx3Best ResponseYou've already chosen the best response.1
Yay :) thank you so much x)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you're welcome
 one year ago
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