## Related questions with answers

Question

Sand is pouring onto a conical pile in such a way that at a certain instant the height is 100 inches and increasing at 3 inches per minute and the base radius is 40 inches and increasing at 2 inches per minute. How fast is the volume increasing at that instant?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 4First, we write the equation for the volume of the given shape:

$V(r,h)= \dfrac{1}{3}r^2\pi h$

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