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Description:

GED Math 5.5 Measurement. What is the approximate radius of the cone?

Language:
English Language

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

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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