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JEE MAIN 2019
09-04-2019 S2
Question
A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is $\tan ^{-1}\left(\frac{1}{2}\right)$. Water is poured into it at a constant rate of 5 cubic metre per minute. Then the rate (in $\mathrm{m} / \mathrm{min}$.), at which the level of water is rising at the instant when the depth of water in the tank is 10 m ; is:
Select the correct option:
A
$\frac{2}{\pi}$
B
$\frac{1}{15 \pi}$
C
$\frac{1}{10 \pi}$
D
$\frac{1}{5 \pi}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Question Tags
JEE Main
Mathematics
Hard
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