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? (numerical answers expected.)

6 goldfish

Step-by-step explanation:

step 1

Find the volume of the fish tank

we know that the volume of a sphere is

we have

---> the radius is half the diameter

assume

substitute

step 2

we know that

It is recommended to have no more than 1 goldfish for every 693 cubic inches of water

so

using proportion

Find out how  many goldfish should Tyler buy for 4,187 cubic inches of water

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.