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
16 • (x^2 + 2y^4) • (x^2 - 2y^4)
1) the slope of the line is where x=0 and the y coordinate is 1
2) plant 2 of the coordinate pairs on the graph, then from there find where the y intercept passes through where x=0
3) slope form is y=mx+b
y=-3x+9 if you use (-3,9)
plant it on the graph and then write a brief explanation
Answer:
<CFE = 28
<RPQ = 53
Step-by-step explanation:
1)
<CFE + 152 = 180
<CFE = 180 - 152
<CFE = 28
2)
Complementary means the angles add up to 90 so:
<RPQ + 37 = 90
<RPQ = 90 - 37
<RPQ = 53
