Question

A human’s eyeball is shaped like a sphere with a diameter of 2.5 cm. A dog’s eyeball is shaped like a sphere with a diameter of 1.75 cm. About how many times
greater is the volume of a human’s eyeball than the volume of a dog’s eyeball?

Answer 1

@563blackghost

Answer 2

To find the volume of a sphere we would use this equation...

\(\huge\color{green}{V= \frac {4}{3} \pi r^{2}}\)

To find the radius we would divide the diameter by 2...

\(\LARGE{2.5 \div 2=r}\) and \(\LARGE{1.75 \div 2=r}\) So what would be the radius of the human eyeball and the dog's eyeball?

Answer 3

1.25 and 0.875

Answer 4

Correct ^^ Now we can find the volume of both...So we would input the radius and substitute \(\LARGE{\pi}\) as \(\Large{3.14}\)....

\(\huge\color{purple}{V= \frac {4}{3}(3.14)1.25^{2}}\) this is the equation for the human eyeball....

\(\huge\color{orange}{V= \frac{4}{3}(3.14)0.875^{2}}\) this is the equation for the dog's eyeball...

What would the volumes be?

Answer 5

Human=6.5416
Dog's= 3.20541

Answer 6

Correct but we are gonna take it up to the hundredths place....

So we would now divide the humans eyeball by the dog's eyeball....

\(\Huge\color{red}{{6.54}\div{3.20}}\)

Answer 7

2.04

Answer 8

Correct ^^ So the humans eyeball is \(\LARGE{2.04}\) times bigger than the dog's eyeball...

Answer 9

Thanks for the help!!

Answer 10

\(\Huge\cal\rlap{\color{red}{No~Problem!:)}}{\color{blue}{\;No~Problem!:)}}\)