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Question $10$ of $14$

$8$

Sand is being poured onto the ground, forming a conical pile whose height equals one$-$fourth of the diameter of the base. If the sand is falling at a rate of $29c\frac{m^3}{s},$ how fast is the height of the sand pile increasing when it is $6$ cm high?

$($Use decimal notation. Give your answer to three decimal places.$)$

Note: $V=\frac{1}{3}{r}^{2}h$ and check the "Student Hint" for more help setting up this problem.

$\frac{dh}{dt}$

$$

$\frac{m^3}{s}$

Incorrect Answer