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# Help. Finding the radius using the volume and height.

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First of all. I would like to formally apolagize to everyone, as my last question wasn't very informative or detailed and I am truly sorry for upsetting anyone.

This is the question from my Pace:

The volume of a paint can is 215 in2. If the height of the can is 7.5 in, what is the radius to the whole number?

I have looked through my pace but I can't find anywhere where it properly explains this. Please help.

Jun 19, 2017

#1
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What's a "pace?" Is it a workbook, are you in a private school or something?

Jun 19, 2017
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Pyscho Baker, I'm homeschooled, doing Distance Education, and my school sends me paces, It's basically a 10 - 50 page workbook, with lots of questions and all that stuff, but the thing is a lot of the stuff they explain very poorly cause they don't have space to put massive detailed instructions. it sucks.

ImTooHot2Die  Jun 20, 2017
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Volume would normally be given as inches^3....I'm going to assume that it is supposed to be

215 in ^3

The paint can is a cylinder.....and the volume of a cylinder is

pi * radius ^2 * height

Filling in what we know, we have

215  = pi * radius^2 * 7.5

Divide both sides by  pi *  7.5

[215 / ( pi * 7.5) ]  = radius^2

Take the square root of both sides

sqrt [  215 / (pi * 7.5) ]  =  radius  = about 3.02 inches  =  about 3 inches to the nearest whole number

Hope that helped....!!!

Jun 20, 2017
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CPhill, Oh my gosh, yes! you're a genius. thank you so much!

ImTooHot2Die  Jun 20, 2017