Click to Chat
1800-1023-196
+91-120-4616500
CART 0
Use Coupon: CART20 and get 20% off on all online Study Material
Welcome User
OR
LOGIN
Complete Your Registration (Step 2 of 2 )
Dear Amit , Please post your query again , we are unable to understand .
Dear Amit ,
Please post your query again , we are unable to understand .
Hi VOLUME OF A SPHERE( its formula can be derived using integral calculus) At any given x, the incremental volume (δV) is given by the product of the cross-sectional area of the disk at x and its thickness (δx):
Hi
VOLUME OF A SPHERE( its formula can be derived using integral calculus)
At any given x, the incremental volume (δV) is given by the product of the cross-sectional area of the disk at x and its thickness (δx):
The total volume is the summation of all incremental volumes:
In the limit as δx approaches zero this becomes:
At any given x, a right-angled triangle connects x, y and r to the origin, whence it follows from Pythagorean theorem that:
Thus, substituting y with a function of x gives:
This can now be evaluated:
This volume as described is for a hemisphere. Doubling it gives the volume of a sphere as:
Post Question
Dear , Preparing for entrance exams? Register yourself for the free demo class from askiitians.
points won -