Water is Being Filled at the Rate... |JEE Main 2022 | Maxima

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JEE MAIN 2022

25-06-2022 S2

Question

Water is being filled at the rate of $1 \mathrm{~cm}^3 / \mathrm{sec}$ in a right circular conical vessel (vertex downwards) of height 35 cm and diameter 14 cm . When the height of the water level is 10 cm , the rate (in $\mathrm{cm}^2 / \mathrm{sec}$ ) at which the wet conical surface area of the vessel increases is

Select the correct option:

A

5

B

$\frac{\sqrt{21}}{5}$

C

$\frac{\sqrt{26}}{5}$

D

$\frac{\sqrt{26}}{10}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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Mathematics

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