The position vector \( \overrightarrow{\mathrm{OA}} \) of point \( ...
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The position vector \( \overrightarrow{\mathrm{OA}} \) of point \( \mathrm{A}(7 \mathrm{~m}, 3 \mathrm{~m} \),
\( \mathrm{P} \) 0 ) is rotated about y-axis. Find the volume W (in \( \mathrm{m}^{3} \) ) of the cone thus formed : (Take: \( \pi \) \( =\frac{22}{7} \) )
(1) \( 154 \mathrm{~m}^{3} \)
(2) \( 66 \mathrm{~m}^{3} \)
(3) \( 22 \mathrm{~m}^{3} \)
(4) None
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