Volume of 1 ball = 4/3 π r³ = 4/3 (3.14) (2.25 ÷ 2)³ = 5.961 in³
Volume of 3 balls = 5.961 x 3 = 17.883 in³
Volume of cylinder = πr²h = (3.14) (2.25 ÷ 2)² (6.75) = 26.825 in³
Empty Space = 26.825 - 17.883 = 8.94 in³ (nearest hundredth)
Answer: 8.94 in³
The question seems incomplete but that could just be my perception.
The slope of y = -4x is -4 as it's the value just in front of the x value. This equation is in the form y = mx+b where m = -4 and b = 0. The m is the slope.
Anything parallel to y = -4x will also have a slope of -4. Parallel lines have equal slopes (but different y intercepts)
Anything perpendicular to y = -4x will have a slope of 1/4. Notice how multiplying the original slope (-4) and the perpendicular slope (1/4) gets you -1. To go from -4 to 1/4, we flip the fraction and the sign. Think of -4 as -4/1 to flip the fraction to -1/4 and then flip the sign to +1/4 or just 1/4.
The LCM (least common denominator) of 3, 4, 6 and 8 is...
24
