Question

Milk is being poured into a cylindrical pail at a constant rate of 8 cubic inches per second. The pail has a base radius of 5 inches and a height of 16 inches. At this rate, how many seconds will it take to fill the pail with milk? Use 3.14 for ? . Round your answer to the nearest second.

Answer 1

157 seconds.



First, let’s find the volume of the pail. The formula for the volume of a cylinder is π * r^2 * h, where r is the base radius, and h is the height.

Let’s substitute in the values to get a new expression, which is π * 5^2 * 16.

We can now simplify further.

π * 5^2 * 16

π * 25 * 16

π * 400

3.14 * 400 (Question says use 3.14 for π)

1256 cubic inches.

Now, we just need to divide the volume by how much it is being filled per second. 1256/8 = 157

So, it will take 157 seconds to fill the pail.



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