Question

question 4 (fill - the - blank worth 2 points) (05.00 mc) tyler is building a fish tank in the shape of a sphere that has a diameter of 20 inches. based on tylers research, it is recommended to have no more than 1 goldfish for every 693 cubic inches of water. how many goldfish should tyler buy? numerical answers expected! answer for blank 1:

Explanation:

Step1: Calculate the volume of the spherical tank

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$, where the radius $r=\frac{d}{2}$. Given $d = 20$ inches, so $r = 10$ inches. Then $V=\frac{4}{3}\pi(10)^{3}=\frac{4000\pi}{3}\approx\frac{4000\times 3.14}{3}\approx4186.67$ cubic - inches.

Step2: Determine the number of goldfish

We know that there should be no more than 1 goldfish for every 693 cubic - inches of water. Let $n$ be the number of goldfish. Then $n=\lfloor\frac{V}{693}
floor$, where $\lfloor x
floor$ is the floor function that gives the greatest integer less than or equal to $x$. Substitute $V\approx4186.67$ into the formula: $n=\lfloor\frac{4186.67}{693}
floor=\lfloor6.04
floor = 6$.

Answer:

6