Question

Help!

Tyler is building a fish tank in the shape of a sphere that has a diameter of 20 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?

Answer 1

Answer:

6 goldfish (max)

Step-by-step explanation:

Since we are given the diameter and are looking for a maximum of fish per cubic inch, it means that we are dealing with volume.

Formula for volume of a sphere is: 4/3pi(r^3)

We have the diameter, so to get the radius, simply divide it by 2.

20/2 = 10

r = 10

Plug it in and solve.

4/3pi(10^3) = V

V = 4188.79 cubic inches

Divide the volume by the rate to get your amount.

4188.79/693 = 6.04

round to nearest whole, as you can't have a percentage of a fish (living maybe)

6.04 --> 6