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Question

Mathematics Question on Application of Integrals

The volume generated by the revolution of the cardioid r=a(1cosθ)r = a(1-\cosθ) about its axis is:

A

83πa3\frac{8}{3}\pi a^3

B

43πa3\frac{4}{3}\pi a^3

C

23πa3\frac{2}{3}\pi a^3

D

163πa3\frac{16}{3}\pi a^3

Answer

83πa3\frac{8}{3}\pi a^3

Explanation

Solution

The correct option is(A):83πa3\frac{8}{3}\pi a^3.