#volumeofsphere How to derive formula of volume of sphere|| गोले का आयतन 📚✏I hope u all like this video so dont forget to like👍 share & subscribe🔔my channel.so that u can get the notification of next videos... thankyou🙏🙌
@@kpk5928 for 9th students you have no way except proving it experimentally using a cylinder or writing observations 5-6 time and then finding proportionality constant btw i too am 10th
Sir, this formula can be easily derived by Calculus method, I mean by Integration. First we take an element dV = 4πx² dx and after integrating this function with proper limits, we get our result. Here is full derivation, dV = 4πx² dx ∫dV = ∫ 4πx² dx V = 4π x³/3 After putting limits from 0 to r, we get V = 4/3 πr³
for people wondering what he did , he just added all the hollow spheres volume (surface area ) from 0 to r 4 pi r^2 is just the surface area derived from this: 2(int(2 pi r )) from 0 to r [adding the rings (circumference) both up and down it will give you 4 pi r^2 the surface area of a sphere you’re welcome
Sir I have a doubt sir agar jitna height and radius sphere or cone ka hai utne height and radius ka agar ham ek cylinder le le sir to volume 1/2πr^2h ho sakta hai kya
But why u take cylinder dear It's a lab activity,mathematically in this activity volume of sphere is equal to volume of two cone 😊 No need of cylinder is there
With the help of an activity observe that what will be the effect on volume of a sphere, if its radios is tripled Sir please bata do ki activity kaise hogi class10
Thanks sir ab hame pata chal gaya
Asome trick
Thanks sir
Blessings🙏
Sir It was so easy.. Thank You😊
Thanks
Thank you sir
Welldone explanation sir
One of the teacher on TH-cam who gives comment on their students comments 😅❤
Yes offcourse 😊
So nice explanation
Thankyou so much
Bhut vadiya 👍👍Thanks sir
Bhut achhe se smjh aya.. Very helpful vedio 😊 😊
My pleasure👍
Hii
bahut badiya ❤❤❤❤
Welcome
Super
Thank you so much sir
Your welcome
Nice video
Sir your method is much good because this is helpful
Thankyou so much
Nice
Good job
Good explanation
👌 excellent
🤗
Nice video👌
nice explanation sir
Great❤❤❤
Thankyou
Thx sir☺
Thankyou sir
Thanks
Hats offff
Thankyou
Thanks sir.
Nice explanation sir 🙏🙏🙏
its easy to understand thank u sir ❤🙏
Without Taking two cones volumes can you derive the volume of sphere formula ??
do it by integration there are multiple ways
I am asking for 9th standard students. Integration method is for 12th standard students only
@@kpk5928 for 9th students you have no way except proving it experimentally using a cylinder or writing observations 5-6 time and then finding proportionality constant btw i too am 10th
💓🇮🇳🇮🇳
Thanks, it helps me to convince my students
Thanks❤🙏
Most welcome
Tq so much sir
👍🏻
its so simple to understand thankyou so much sir
You deserve 109k like
Thankyou so much
How the volume of sphere is sum of the volumes of two cones?
Aap ne b tou gota hi bata diya
Thanks sir 😊😊
Sir, this formula can be easily derived by Calculus method, I mean by Integration.
First we take an element dV = 4πx² dx and after integrating this function with proper limits, we get our result.
Here is full derivation,
dV = 4πx² dx
∫dV = ∫ 4πx² dx
V = 4π x³/3
After putting limits from 0 to r, we get
V = 4/3 πr³
Thankyou so much for alternate method👍
for people wondering what he did , he just added all the hollow spheres volume (surface area ) from 0 to r
4 pi r^2 is just the surface area derived from this:
2(int(2 pi r )) from 0 to r [adding the rings (circumference) both up and down
it will give you 4 pi r^2 the surface area of a sphere
you’re welcome
Toh calculas k duniya main jaa ke apna knowledge jhaar na..idhar k elementary school main oversmart dikhata hai
@@RJ-ns6gf true
But this is not for middle level students,they don't know about integration
Superb explanation sir 👍🏻👍🏻😊
How do you know Volume of sphere = 2 cone volume which radius equal to radius of sphere?
It's practically proved
Lab activity it is
Lab activity kaha hai btao...... Link share kro
It's really nice way to explain....👌
Sir how did you make sure that the volume of the sphere = to the volume of a cone of same height and radius
Its practical activity you can do like the same...
@@DESERVEPOINTACADEMY But how to explain except practical activity..
Thank u so much sir...it was so easy to understand...😊
Sir thanks.
It really supported in my exams of science.😀
Same
Class 7 ho timi
@@xenxous_editz1215 r u in class 7??
Sir u can’t understand what you say but your pen was good thankyou
This was the simplest explaination thank you!
Your most welcome
Why volume of sphere must be equal to the sum of volume of two cones of equal radius and height...??
Kyu hai 2 cone ke volume ke barabar kon batayega ye
Nice sir .. sir aap kaha se ho?
I m from bhopal MP
Sir I have a doubt
sir agar jitna height and radius sphere or cone ka hai utne height and radius ka agar ham ek cylinder le le sir to volume 1/2πr^2h ho sakta hai kya
But why u take cylinder dear
It's a lab activity,mathematically in this activity volume of sphere is equal to volume of two cone 😊
No need of cylinder is there
@@DESERVEPOINTACADEMY sir cylinder solid shape wala lpg cylinder nahi 😄😄 why will I say lpg cylinder sir..😂
सर गोला 2शंकु के आयतन के योग के बराबर होता है ये समझ प्लीज
Sir 1 by 3 apne kisi liya wo sirf samjhao pls
Hm cone hi kyu lenge ye to sir aapne btaya hi ni
It's a practical lab activity
Sir traingle chapter lab samjhao ge
Sir volume of sphere 2 volume of cone with same height kyu kiya
Thanks a lot sir ji
After seeing your video, I became your big fan "GURU" 💕💕💕
My pleasure👍
Sir volume of sphere mein hmlog 2 cone ko kaise liye sphere ke shape mein to koi cone bn hi nahi rha hai
Its a lab practical activity dear👍
Sr volume of sphere, 2 times volume of cone ke equal kaise aaya
It's a practical activity dear
Dono cone me jitna pani ayega utna paani ek sphere me ayega akela.
Exactly👍
H=2r तो है किंतु त्रिभुज की ऊंचाई aor गोले की ऊंचाई बराबर कैसे हो सकती है,,, अभी ये गलत है,, दो त्रिभुज का योगफल एक गोला कैसे होगा
Volume of the cone kaha sai aya
Uska bhi separate derivation hai aap dekh sakte hai channel par
With the help of an activity observe that what will be the effect on volume of a sphere, if its radios is tripled
Sir please bata do ki activity kaise hogi class10
Sir bato ki activity kaise hogi
Whare is H gon
No it's innaqurate
Please use integration
Integration??
Thankyou Sir! What's your name?
Sumit bhatt
Sir, h=2r/2=r.
As u took cones from center of sphere.
Sir this not proper explanation h= 2r is wrong
Firstly you should have explained how a sphere amounts to two similar cones.
It is practical activity
Sir humne toh integration se kiya hai
Dear but 9th 10th class students didn't know the integration
Yes sir I agree with you, your method is the most appropriate for 9th and 10th graders
@namanrai681 thankyou so much Naman
Can you explain about torispherical dish volume
Is this pappus guldinus theorem
Sir pls use equal to sign instead of this imply sign
I didn't get logic
Hlo sir
Ji sir aadesh
Aap kaha se ho sir
Sumit sir ateli m b rhe hue ho kya aap
Nahi i m from bhopal
🙄🙄🙄 derivation??
कुछ भी बकवास
Ji dhanyawad 🙏
Kuch bhi na matlab....
Theek hai aap samjha dijiye matlab...
Poor method
Thanks for ur compliment
Plz suggest me best method
@@DESERVEPOINTACADEMY OOOOOOOOOOHHH!!!!! SAVAGE REPLY
Ye is tarah se bklol wali tarike se aap bta rahe ho,
First time kaise mathmetician ko maloom chala o aap bataao n,
Ye kitaabi bhasa
If you have any trick then plz suggest me also
Thank you sir
Nice explanation
Thanks sir
Thanks
Thanks sir
Thank you sir
Welcome 🤗