This helped me further understand volume of a sphere. It also helped me get the peremiter and area of the sphere. I loved the way it showed the thought process and showed what he typed into the calculator also.
i suggest you do a video about how to derive such a volume formula (e.g. integrating 1 over the area, in this case in sperical coordinates), i think this would be appreciated.
If you cubed it to get 1436.8, why is the answer 1436.8^3 ? I thought you already used up the "^3" in the initial calculation so what does cubing the number it again do?
Llia Olsen I think it'd because the cubed here is refrencing the type of centimeter, not the actual volume. the 3rd power in the original problem is to express the volume of the circle in 3 dimensional space, while the cubic centimeter is just a unit of measurement to measure that space in three dimensions
You put the cubed on top of the units. In this case it's cm. It has nothing to do with the calculations. Since, it's volume we are talking about we use "units cubed".
Help plss 😐✌️. How to find percentage using sphere formula? What percent increase in volume is achieved by a sphere whose diameter increases from 3 cm to 4 cm?
Lol, that's actually a question that deals with calculus. So, Calculus tells us that volume is the integral of surface area (that itself is a whole other topic of discussion. Basically, if you were to take the surface of the shape and add up an infinite number of rectangles, it would give you volume). The surface area of a Sphere is 4(pi)(r)^2 as you probably already know. So in order to take the integral of the surface area, we make it a function A(x) = 4(pi)x^2 (plugging in r for x). By reversing the power rule (aka finding the antiderivative), you would do (x^(n+1))/(n+1). In our equation that would be (4(pi)x^(2+1))/(2+1) = (4(pi)x^3)/3 which would be the same as 4/3(pi)x^3........this is one of the many formulas that Calculus provides geometry with.
@@JagjitBrawler I think it would be easier to just say that its the infinite sum of all of the cylinders, by doing: integral from -r to +r of (pi * y^2) (dx) which is 2 times integral from 0 to +r of root(r^2-x^2)^2 (dx) which is (2)(pi) integral from 0 to +r of r^2-x^2 (dx) which is (2)(pi) F.Th.Calculus 0-->+r of xr^2-1/3x^3 which is (2)(pi)(r)(r)^2 - (r)^3/3 which is (2)(pi)(2/3)(r)^3 which is (4/3)pi(r)^3
A sphere doesn't have volume, a ball has. Sphere is "a boundary of a ball", or "the surface of a ball". Shouldn't you be precise with your use of terms?
@@SubscribersWithaFewVideos -_- im in flippin middle school tryna pass my test ofc im not gonna cheat using a calculator i need another way to solve this-
I am amazed by your computer writing/drawing skills.
same since he used a mouse, and drawing with a mouse is hard
he has a drawing tablet
@@t00lbox I Dont Think There Are Drawing Tablets 8Years Ago
@@ryio.0 they had some of them boards that they can write on. It’s most likely they will have a drawing tablet
You’re a lifesaver when it comes to not passing math class🙏🙏🙏🙏
ugh this guy should get payed his videos are honestly so helpful
He owns a company for making these vids lol
This helped me further understand volume of a sphere. It also helped me get the peremiter and area of the sphere. I loved the way it showed the thought process and showed what he typed into the calculator also.
It gave me a small chuckle when you said "get out the calculator to get the exact value [of pi]". xD
Same
Understands *
Lays in bed making own sums
*forgets everything*
Shabad Bhanduth you got the whole squad laughing
Same bruh same
0:24 "straight through the centimeter"
lol i thought i was the only one who noticed that
*Area circumference volume
And for a sphere whats circumference or the area all way round called? Or is it the same?
i suggest you do a video about how to derive such a volume formula (e.g. integrating 1 over the area, in this case in sperical coordinates), i think this would be appreciated.
12 years ago. You still remember this?
THANKKK UUUU
how are you doing in life now?
@@JommPods how are you doing in life? been 2 years
LOL! You are the only one who explained
this the best video ever thanks
Thanks for the video bro, I coudnt understand It till i saw your vídeo, very good explained and clear, i appreciate
7x7x7 = 323
4/3 x pi squared x 323
1436.8cm3
Voilà!
quote of 2011: "straight through the centimeter" -Sal Khan
I needed thus so much
Cool, awesome, the best. Its the best...
When he said
Aaand were done
I was like... Wait already?
thanks
If you cubed it to get 1436.8, why is the answer 1436.8^3 ? I thought you already used up the "^3" in the initial calculation so what does cubing the number it again do?
Llia Olsen I think it'd because the cubed here is refrencing the type of centimeter, not the actual volume. the 3rd power in the original problem is to express the volume of the circle in 3 dimensional space, while the cubic centimeter is just a unit of measurement to measure that space in three dimensions
Llia Olsen the centimeters are cubed he puts it there to indicate that the number and centimeters are cubed and you have to put it there
You put the cubed on top of the units. In this case it's cm. It has nothing to do with the calculations. Since, it's volume we are talking about we use "units cubed".
bro js saved my math grade
Thanks so much 🙏🏼
Thanks :)
ily thank you so much
Ty
Thanks so much!
after 9 years hows life now?
@@JommPods hahaha wow that’s crazy! great man
@@TimDaBoss27 great to hear bro!
i probaly would've used the calc. so I'm glad he used it. lol :)
Thank the lord i found this vid
thanks khan
cant you just use 3.14 for pi
yes
Help plss 😐✌️. How to find percentage using sphere formula?
What percent increase in volume is achieved by a sphere whose diameter
increases from 3 cm to 4 cm?
why doesnt someone modernize this ancient method?
Hey! I doubt anyone will answer this since this video is YEARS old but uh, can anyone explain to me why its formula is 4/3?
Lol, that's actually a question that deals with calculus. So, Calculus tells us that volume is the integral of surface area (that itself is a whole other topic of discussion. Basically, if you were to take the surface of the shape and add up an infinite number of rectangles, it would give you volume). The surface area of a Sphere is 4(pi)(r)^2 as you probably already know. So in order to take the integral of the surface area, we make it a function A(x) = 4(pi)x^2 (plugging in r for x). By reversing the power rule (aka finding the antiderivative), you would do (x^(n+1))/(n+1). In our equation that would be (4(pi)x^(2+1))/(2+1) = (4(pi)x^3)/3 which would be the same as 4/3(pi)x^3........this is one of the many formulas that Calculus provides geometry with.
@@JagjitBrawler I think it would be easier to just say that its the infinite sum of all of the cylinders, by doing:
integral from -r to +r of (pi * y^2) (dx)
which is 2 times integral from 0 to +r of root(r^2-x^2)^2 (dx)
which is (2)(pi) integral from 0 to +r of r^2-x^2 (dx)
which is (2)(pi) F.Th.Calculus 0-->+r of xr^2-1/3x^3
which is (2)(pi)(r)(r)^2 - (r)^3/3
which is (2)(pi)(2/3)(r)^3
which is (4/3)pi(r)^3
@@mert446 so apparently I could do math 4 years ago lmao. Today I don’t even remember how to do chain rule
@@JagjitBrawler lol
holy cow, there are these smart people talking about calculus @-@
this is so confusing im not that smart
im in grade 6 i have to take part in a natonal grade 6 exam as soon as i saw the formula i instantly got it but thank you for make this vid
this was for biology lol
can it be an approx answer I got 1436.9
So just use a calculator.
CENTRA STUDIOS the point is to know the formula. If all you wanted was to know how to calculate big numbers, this isn’t the best source.
@@SubscribersWithaFewVideos agreed, this is not the best source
A sphere doesn't have volume, a ball has. Sphere is "a boundary of a ball", or "the surface of a ball". Shouldn't you be precise with your use of terms?
A sphere is a ball
thats a Circle
you shouldn't have used the calculator! :)
mashup styles why not? thats what calculaters were for right? In the real world, we won’t need to computate for ourselves at all times
@@SubscribersWithaFewVideos -_- im in flippin middle school tryna pass my test ofc im not gonna cheat using a calculator i need another way to solve this-
@@amongus282 how are u doing now?
@@amongus282just work it out on paper
Thank god imallowed a calculator :/
=o
IM NEVER GONNA GET IT
well.. it's been 3 years- do you get it now XD
@@amongus282 well its been 4 years i wonder if he gets it now XD
Its been 6 years. I wonder if he gets it now XD
Not nice
U talk so fast Speak Slower man!!
+Ore Creeper He has to keep it quick xD
yea agreed :D
Dude literally did nothing to help. He just put it in the calculator
he prob got confused too XD
this vid wont help , this is just the formula which you can get off google
Thanks :)
thanx bro🤝