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Mathematics 8 Online
OpenStudy (tylermckinney16):

Please help.

OpenStudy (tylermckinney16):

Questions here.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

u got another medal

OpenStudy (tylermckinney16):

ok :)

OpenStudy (anonymous):

thats still good grade

OpenStudy (anonymous):

wich ones u get wrong

OpenStudy (kamibug):

First let's find the volume of the cone... \[Volume ~of ~a ~cone = \pi*r^2 *\frac{ h }{ 3 }\] Can you plug in the radius and height? :)

OpenStudy (anonymous):

kami

OpenStudy (kamibug):

Yash

OpenStudy (anonymous):

i already helped him in massages lol but ty ill give u medal

OpenStudy (kamibug):

Oh, lol. xD Thanks:)

OpenStudy (anonymous):

lol

OpenStudy (tylermckinney16):

Kiity i got em all wrong lol.

OpenStudy (anonymous):

how

OpenStudy (tylermckinney16):

it says i got them wrong lol

OpenStudy (anonymous):

retry ill give all write post all in comment

OpenStudy (tylermckinney16):

60000 @KamiBug

OpenStudy (tylermckinney16):

??

OpenStudy (kamibug):

Show your steps? :P

OpenStudy (tylermckinney16):

300*200=60000

OpenStudy (kamibug):

Eek, you gotta use the formula I put up there ^^^ XD

OpenStudy (tylermckinney16):

300*200*1/3=20000? lol

OpenStudy (kamibug):

\[V = 3.14*150*\frac{ 200 }{ 3 }\] pi = 3.14 r = half the diameter (300/2=150) h(height) = 200

OpenStudy (tylermckinney16):

oh ok i understand

OpenStudy (phi):

*** 300*200*1/3=20000? lol*** that is close but you want the radius (not the diameter). the diameter is 300. the radius is only ½ of that also, you should put in pi. pi is about 3.14

OpenStudy (tylermckinney16):

is that the answer?

OpenStudy (tylermckinney16):

or just the formula?

OpenStudy (kamibug):

Thats the formula for the cone. After solving that we need to find the volume of the half sphere on top.

OpenStudy (phi):

you are finding the volume of the cone you also have to find the volume of the "half sphere" that is a different formula you then add up the volume of the cone and the one-half sphere

OpenStudy (tylermckinney16):

ok cool.

OpenStudy (kamibug):

So what do you get for the volume of the cone after simplifying what we plugged in? :)

OpenStudy (tylermckinney16):

i got 31400 lol

OpenStudy (kamibug):

Looks good. :) Now, how do you think we can find the volume of the figure on top of the cone?

OpenStudy (tylermckinney16):

hmm idk could u explain lol

OpenStudy (kamibug):

Well it's half of a sphere right ? So we can use the formula for the volume of a sphere and then divide what we get by 2. Do you know what the formula is? ^.^

OpenStudy (tylermckinney16):

ok cool.

OpenStudy (anonymous):

oh srry in back

OpenStudy (phi):

btw, the formula for the volume of the cone is \[ V= \frac{1}{3} \pi r^2 \ h\] notice is has r^2 (r squared) or r*r not just r so you should re-do that part.

OpenStudy (kamibug):

Oh, that's my bad! I left out the '^2' in the formula...! Sorry @TylerMckinney16 So the final volume for the cone would actually be 4,710,000 ^_^

OpenStudy (kamibug):

Thank you! @phi

OpenStudy (tylermckinney16):

Ok now what ? :)

OpenStudy (kamibug):

Now we find the volume of the half sphere ^,^ You know the formula for that?

OpenStudy (tylermckinney16):

Could you put the formula.

OpenStudy (kamibug):

\[V = \frac{ 2 }{ 3 }*\pi*r^3\]

OpenStudy (tylermckinney16):

sweet :) ill do it right now

OpenStudy (kamibug):

Great :D

OpenStudy (tylermckinney16):

300*200*2/3=40000??

OpenStudy (anonymous):

tyler

OpenStudy (kamibug):

You forgot pi (3.14). ^.^ Remember the radius is 150, not 300. :) And you need to cube it...150^3 Also, the formula doesn't ask for the 200...that's the height of the cone. :P \[V = 150^3 * 3.14 * \frac{ 2 }{ 3 }\]

OpenStudy (anonymous):

hello

OpenStudy (tylermckinney16):

ok 2/3*3.14*150^3=7065000??? is this good.

OpenStudy (kamibug):

Yup, perfect!

OpenStudy (kamibug):

Now we add that to our other volume... 7,065,000 + 4,710,000 = ?

OpenStudy (tylermckinney16):

11.775

OpenStudy (kamibug):

Right, 11,775,000. Hmm...looks like I must have made a mistake somewhere along the way bc it's not one of the answer choices...A is the closest though. :o

OpenStudy (tylermckinney16):

Yeah lol.

OpenStudy (kamibug):

@Zarkon What do you think?

OpenStudy (zarkon):

use more digits of \(\pi\)

OpenStudy (zarkon):

using the value of \(\pi\) on my calculator I get 11,780,972.451

OpenStudy (kamibug):

Oh, okay! Good idea. ^.^ So the fraction 22/7 would be better right? :)

OpenStudy (zarkon):

I used 3.14159265359

OpenStudy (kamibug):

Okay :D @TylerMckinney16 There's your answer. :3

OpenStudy (tylermckinney16):

sweet thanks :D

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