Question

please help ill give 20 points
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? (Numerical answers expected.)

Answer 1

Answer:

2

Step-by-step explanation:

Diameter = 14

Radius = 7 inches

Volume = (4/3)×3.14×7³ = 1436.026667 inches³

1436.026667 ÷ 693 = 2.072187552

Answer 2

The amount of goldfishes he can buy depends on the volume (i.e. the space) of the fish tank. For each fish to occupy 693$in^3$ in the tank, Tyler should buy 2 goldfishes.

Given

Shape: sphere

$d = 14in$

The volume (V) of a sphere is:

$V =\frac{4}{3} \pi r^3$

Where:

$r =d/2 = 14/2 = 7$

So, we have:

$V = \frac{4}{3} \times \frac{22}{7} \times 7^3$

$V = \frac{4}{3} \times 22\times 7^2$

$V = \frac{4 \times 22 \times 7^2}{3}$

$V = \frac{4312}{3}\ in^3$

Given that 1 goldfish occupies 693$in^3$

The number of fishes is:

$Fishes = \frac{4312}{3}\ in^3 \div 693\ in^3$

$Fishes = \frac{4312}{3} \div 693$

Rewrite as:

$Fishes = \frac{4312}{3} \times \frac{1}{693}$

$Fishes = \frac{4312}{3\times 693}$

$Fishes = \frac{4312}{2079}$

$Fishes = 2.07$

Approximate

$Fishes = 2$

Hence, Tyler should buy 2 goldfishes

Read more about volumes at:

https://brainly.com/question/9994313