Answer:
Amount of empty space in the cylinder = 395.64 cm³
Step-by-step explanation:
Since the cylinder contains 3 tennis balls each measuring 6 cm in diameter, we can say that the diameter of the cylinder is 6 cm because the balls are on top of each other. Since we have 18 cm is the height of the cylinder,then;
Formula for volume of a cylinder is;
V = πr²h
We are to use π = 3.14
Thus, V_cylinder = 3.14 × (6/2)² × 18
V_cylinder = 508.68 cm³
Volume of a tennis ball is;
V_tennis ball = (4/3)πr³
V_tennis ball = (4/3) × 3.14 × (6/2)³
V_tennis ball = 37.68 cm³
Thus, volume of 3 tennis balls = 3 × 37.68 = 113.04 cm³
Amount of empty space in the cylinder = V_cylinder - V_3 tennnis ball = 508.68 - 113.04 = 395.64 cm³
Answer:
Please see attached picture for full solution.
The slope of the line is the quotient when the negative of the numerical coefficient of x is divided by the numerical coefficient of y. The slope of the first line is 2/3 and that of the second line is -4/-6 or 2/3. Thus, the answer is letter C.
Pay=pay per hour times hours
A. M=12x
B. for more than 30, so
T=amoutn earned already (30hr normal)+overtime
T=12(30)+16y
T=360+16y
C.
hmm, 360 is if worked 30 hours, the rest is overtime
so
408=360+16y where y is overtime
minus 360 both sides
48=16y
divide both sides y 16
3=y
3 hours of overtime
Using formula A=4πr2
A=π⅓(6V)⅔=π⅓·(6·288)⅔≈210.90123
So area is apprix 210.9
