Question

One sphere has a radions of 181 cm, another has a radius of 5.01 cm. What is the difference in volume (in cubic centimeters) between the two spheres? The volume of a spheres (4/3/wber21416 Try Anothew Version mattempts remaining

Answer 1

`2.4*10^(7)cm^(3)`

Step-by-step explanation:

First you should calculate the volume of a big sphere,so:

`V_(big)=(4)/(3)\pi r^(3)`

`V_(big)=(4)/(3)\pi (181cm)^(3)`

`V_(big)=2.4*10^(7)cm^(3)`

Then you calculate the volume of a small spehre, so:

`V_(small)=(4)/(3)\pi r^(3)`

`V_(small)=(4)/(3)\pi (5.01cm)^(3)`

`V_(small)=5.3*10^(2)cm^(3)`

Finally you subtract the two quantities:

`V_(big)-V_(small)=2.4*10^(7)cm^(3)-5.3*10^(2)cm^(3)`

`V_(big)-V_(small)=2.4*10^(7)cm^(3)`