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Question

Mathematics Question on Double and triple integrals

Given below are two statements
Statement I: In cylindrical co-ordinates, Volume=VrdrdødzVolume = \int \int\limits_{V} \int rdrdødz
Statement II: In spherical polar Co-ordinates, Volume=Vr2 cosθ drdθdϕVolume = \int \int\limits_{V} \int r^2\ \cos\theta\ drd\theta d\phi
In the light of the above statements, choose the correct answer from the options given below :

A

Both Statement I and Statement II are true

B

Both Statement I and Statement II are false

C

Statement I is true but statement II is false

D

Statement I is false but statement II is true

Answer

Statement I is true but statement II is false

Explanation

Solution

The correct option is(C):Statement I is true but statement II is false.