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?

Question

KyledaGreat · Answer

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere. Since the diameter of the fish tank is 14 inches, its radius is half of that, or 7 inches.

So, V = (4/3)π(7^3) = 1436.76 cubic inches (rounded to two decimal places).

According to the recommended guideline, Tyler can have no more than 1 goldfish for every 693 cubic inches of water. To find the number of goldfish Tyler should buy, we divide the volume of water in the fish tank by 693:

1436.76 / 693 ≈ 2.07

Rounded down to the nearest whole number, Tyler should buy 2 goldfish for his fish tank.