Answer:
-6 < x ≤ 6
Step-by-step explanation:
The unoccupied volume will be the volume of the can minus the volume of the three tennis balls.
V=HπR^2-3(4πr^3)/3
V=HπR^2-4πr^3 where H=height of can, R=radius of can, r=radius of ball
We are told H=7, R=1.5, and r=1.125 (2.25/2=d/2=r) so
V=7π1.5^2-4π1.125^3
V=15.75π-5.6953125π in^3
V≈31.58 in^3
7.76 to one decimal place
= 7.8
We are looking at one decimal place, in this case the number 7 after the decimal place next to 6. Any number above 5 rounds up the number in front of it. 6 is above 5 so it changes the 7 to an 8.
B is the correct answer. The absolute value of something will always be positive. ALWAYS.