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.

9514 1404 393

  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.

The stoplights will change color after 33 seconds . at the same time again.

Step-by-step explanation:

Given: Stoplight A changes color every 15 seconds and Stoplight B changes color every 45 seconds.

Then, the number of seconds after which they change color at the same time again = least common multiple of 15 and 45.

Since, 15 = 5 x 3 , 45 = 3 x 3 x 5

Least common multiple of 15 and 45. = 3 x 3 x 5 = 45

Since, Both stoplights changed color 12 seconds ago.

So after 45-12 = 33 seconds .

Hence, the stoplights will change color after 33 seconds . at the same time again.