MATH SOLVE

2 months ago

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

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