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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:
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