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Mathematics 17 Online
OpenStudy (anonymous):

A hamster ball has a radius of 21 centimeters. What is its volume written in terms of π?

OpenStudy (anonymous):

volume = 4/3 π r3

OpenStudy (anonymous):

12,348π cm3 9,261π cm3 6,946π cm3 588π cm3

OpenStudy (anonymous):

which one do you get?

OpenStudy (anonymous):

How would i do it though? like what are the steps to ding it? I dont understand

OpenStudy (anonymous):

how can you get volume with only two numbers? that would only be area?

OpenStudy (anonymous):

thats what I am trying to figure out!!!

OpenStudy (anonymous):

thats what I am trying to figure out!!!

OpenStudy (anonymous):

how thick is that circle?

OpenStudy (anonymous):

@countonme123 the volume is the formula above. @kenzi.sloboda.14 do you know the radius?

OpenStudy (anonymous):

radius is 21cm

OpenStudy (anonymous):

there are actually three numbers. Pi, 4/3, and the radius.

OpenStudy (anonymous):

4/3 is pi,no?

OpenStudy (anonymous):

so, then what is the radius squared?

OpenStudy (anonymous):

no, Pi is 3.14 (approximately, anyway) however, they want the answer in terms of Pi.

OpenStudy (anonymous):

oh my bad then teach me as well how to solve this i would like to learn

OpenStudy (anonymous):

@countonme123 it is a pretty basic problem. they give you the radius of the sphere. you take the radius, square it, multiply it by 4/3, and then multiply that by Pi. almost as easy as determining the area of a circle.

OpenStudy (anonymous):

oh ok so its a sphere? and why did you use 4/3

OpenStudy (anonymous):

because just like the equation for the area of a rectangle is length times width (l*w), the equation for the volume of a sphere is 4/3 times radius squared times Pi. Google for 'volume of a sphere', you should see plenty of sites that offer this information.

OpenStudy (anonymous):

\[21^{2}\times4/3\times3.14\]so its writn like ^

OpenStudy (anonymous):

but they are asking for the answer in terms of Pi. you include Pi in the answer. take a look a the possible answers you posted above. each one has the Pi symbol in it. so this means that you only calculate the 21^2 x 4/3. and then show that number with Pi.

OpenStudy (anonymous):

all of them have the pi symblom in them

OpenStudy (anonymous):

yes, they do. which means after you multiply the radius squared by 4/3, you are done.

OpenStudy (anonymous):

wait why is is 21 to the second power?

OpenStudy (anonymous):

the radius is squared because that is how you determine the area of an circle inscribed within the sphere.

OpenStudy (anonymous):

588 is the answer i think

OpenStudy (anonymous):

It has a very long time since I have proven the formula for the area of sphere... so can't do that here.

OpenStudy (anonymous):

oh man what grade is this?

OpenStudy (anonymous):

@kenzi.sloboda.14 that's it!

OpenStudy (anonymous):

I gotta go. good luck. I hope you understand the process.

OpenStudy (anonymous):

what grade?

OpenStudy (anonymous):

10th

OpenStudy (anonymous):

ahh I see that's why I am not familiar with this work.I am in 9th.

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