Q:

Gus has a fish tank that holds 471047104710 inches^3 3 start superscript, 3, end superscript of water. He is using a cylinder shaped bucket with a radius of 555 inches and a height of 202020 inches to fill the tank. How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop? Use 3.143.143, point, 14 for \piπpi.

Accepted Solution

A:
The first thing we must do for this case is find the volume of the bucket.
 We have then that by definition the volume of a cylinder is given by:
 V = pi * r ^ 2 * h
 Where,
 r: radio
 h: height
 Substituting the values we have:
 V = (3.14) * (5) ^ 2 * (20)
 V = 1570 in ^ 3
 Then, the number of times the bucket should be filled will be given by:
 N = (4710) / (1570)
 N = 3 times
 Answer:
 Gus will need to fill the bucket to completely fill the fish tank if it does not spill a drop about:
 N = 3 times