Question

Gus has a fish tank that holds 471047104710 inches^3 3 cubed 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.

Answer 1

Answer:

Gus will need to fill up the cylindrical bucket three times to be able to use it to fill up the tank

Step-by-step explanation:

Extracting the key information from the question:-

*** A fish tank has a capacity or volume of 4710 inches^3

*** The owner of the tank uses a cylindrical shaped bucket to fill the tank

*** The radius of the bucket being used to fill the tank is 5 inches and its height is 20 inches

*** We are only required to calculate how many times Gus will need to fill the bucket in order to completely fill the fish tank.

Since the container that the owner of the fish tank is using to fill the fish tank is cylindrical, we will need the formula for calculating the volume of a cylinder in order to determine the volume of this bucket that is being used to fill the fish tank.

Volume of a cylinder = π × r^2 × h. From the question, we were informed that the radius of the cylindrical bucket is 5 inches and the height of this bucket is 20 inches.

The volume of the bucket is = 3.14 × 5^2 × 20 = 1570 inches^3

Again, we were told that the fish tank that Gus was using cylindrical bucket to fill up has a volume of 4710 inches^3. In order to determine the number of filled buckets that will be able to fill the fish tank, we will then divide the volume of the tank by the volume of the cylindrical bucket:

4710/1570 = 3 full buckets.

Therefore, Gus will need to fill the bucket three times in order to be able to fill up the fish tank.