A sphere has a radius of 6 meters. A second sphere has a radius of 3 meters. What is the difference of the volumes of the spheres?
∆volume = 4/3 pi (R^3 -r^3 )
= 4/3 pi((6)^3 -(3)^3)
= 252*pi
= 791.68 m^3
Answer:
\(791. 28 m^3\\\)
Step-by-step explanation:
Volume of sphere with 6 meter radius
\(= \frac{4}{3} \pi r^3\\= \frac{4}{3} (3.14) ( 6^3)\\= 904.32 m^3\\\)
Volume of sphere with 3 meter radius
\(= \frac{4}{3} \pi r^3\\= \frac{4}{3} (3.14) ( 3^3)\\= 113.04 m^3\\\)
Difference between the volume of two sphere
\(= (904 .32 m^3)- ( 113.04 m^3)\\= 791.28 m^3\\\)