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Description:
GED Math 5.5 Measurement. What is the approximate radius of the cone?
Transcript
- 00:00
Thank you We sneak in and here's your shmoop du
- 00:05
jour rot you by fifteen foot tall cones You can't
- 00:08
get that tall and pointy without eating all your vegetable
- 00:11
broth All right A fifteen foot tall cone has volume
- 00:14
of a thousand five point three cubic feet What is
Full Transcript
- 00:17
the approximate radius of the cone A horrible question That
- 00:23
and here the potential answers Well another formula question coming
- 00:27
right at you So those questions looking for the radius
- 00:29
of the cone but really we need to work backwards
- 00:31
and figure out how someone might arrive it this volume
- 00:34
Well we've got the height of the cone and the
- 00:36
volume so let's blood those into our cone volume formula
- 00:39
which is volume equals one third pi r squared times
- 00:45
type that's the formula Well you know what we know
- 00:48
We get a thousand five point Three cubic feet equals
- 00:51
one thirds pi r squared times fifteen And the radius
- 00:55
of the peace we're looking for is we need to
- 00:57
isolate it And isolation can be good Go to your
- 01:01
happy place part So let's Just multiply both sides by
- 01:04
three to get rid of the one third that gives
- 01:06
Us three thousand fifteen point nine equals pi r squared
- 01:09
times fifteen Great now let's Divide both sides by fifteen
- 01:13
pie and we get three thousand fifteen point nine over
- 01:16
fifteen pie with peoples are squared well now before we
- 01:20
go any further we kind of need to deal with
- 01:21
this mess on the left hand side so let's see
- 01:23
what our calculators can do with it Fifteen pies right
- 01:26
around forty seven point one two and note that the
- 01:30
question did ask for an approximate value so we don't
- 01:32
have to be exactly pot here Well we have three
- 01:35
thousand fifteen point nine divided by about forty seven point
- 01:38
one two and it's roughly sixty four almost on the
- 01:41
dot Actually the last step We take the square root
- 01:45
of both sides and our equals broke a six four
- 01:48
which is eight Answer b Now we just have to
- 01:51
look into our happy place on the mountain and see 00:01:54.232 --> [endTime] if we came up with the same
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