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Thank you We sneak in and here's your shmoop du

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jour rot you by fifteen foot tall cones You can't

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get that tall and pointy without eating all your vegetable

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broth All right A fifteen foot tall cone has volume

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of a thousand five point three cubic feet What is

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the approximate radius of the cone A horrible question That

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and here the potential answers Well another formula question coming

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right at you So those questions looking for the radius

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of the cone but really we need to work backwards

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and figure out how someone might arrive it this volume

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Well we've got the height of the cone and the

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volume so let's blood those into our cone volume formula

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which is volume equals one third pi r squared times

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type that's the formula Well you know what we know

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We get a thousand five point Three cubic feet equals

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one thirds pi r squared times fifteen And the radius

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of the peace we're looking for is we need to

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isolate it And isolation can be good Go to your

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happy place part So let's Just multiply both sides by

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three to get rid of the one third that gives

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Us three thousand fifteen point nine equals pi r squared

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times fifteen Great now let's Divide both sides by fifteen

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pie and we get three thousand fifteen point nine over

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fifteen pie with peoples are squared well now before we

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go any further we kind of need to deal with

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this mess on the left hand side so let's see

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what our calculators can do with it Fifteen pies right

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around forty seven point one two and note that the

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question did ask for an approximate value so we don't

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have to be exactly pot here Well we have three

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thousand fifteen point nine divided by about forty seven point

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one two and it's roughly sixty four almost on the

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dot Actually the last step We take the square root

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of both sides and our equals broke a six four

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which is eight Answer b Now we just have to

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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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