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.

Respuesta :

9514 1404 393

Answer:

  157 seconds

Step-by-step explanation:

The volume of the pail is ...

  V = πr^2·h

  V = 3.14(5 in)^2(16 in) = 1256 in^3

At 8 in^3/s it will take ...

  (1256 in^3)/(8 in^/s) = 157 s

to fill the pail.

It will take 157 seconds to fill the pail with milk.