Tyler is building a fish tank in the shape of a sphere that has a diameter of 14 inches. Based on Tyler's research, it is recommended to have no more than 1 goldfish for every 693 cubic inches of water. How many goldfish should Tyler buy for his fish tank?

Respuesta :

Answer:

Tyler should buy 2 goldfishes for his fish tank,

Step-by-step explanation:

First let's find the volume of the sphere, using the following equation:

[tex]Volume = (4/3) * \pi * radius^3[/tex]

The radius is half the diameter, so the radius is 14/2 = 7 inches

Now, finding the volume, we have:

[tex]Volume = (4/3) * \pi * 7^3[/tex]

[tex]Volume = 1436.75\ in^3[/tex]

Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):

[tex]Number\ of\ goldfishes = 1436.75 / 693 = 2.07 = 2\ goldfishes[/tex]

Tyler should buy 2 goldfishes for his fish tank,

Answer:

Tyler should buy 2 goldfishes for his fish tank

Step-by-step explanation:

I took the test and got it correct.