Answer:
30%
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
Answer:
x = 16
Step-by-step explanation:
4x - 2 = 3x + 14
4x - 2 + 2 = 3x + 14 + 2
4x = 3x + 16
4x - 3x = 3x - 3x + 16
x = 16
Since all the volume of the liquid will be contained by all 30 spheres then,
30 V = 3392.92
where V is the volume of each sphere
Solving for V
V = 113.0973
The formula for the volume of the sphere is:
V = (4/3) π r³
Since diameter, D = 2r
V = (4/3) π (D/2)³
V = (4/3) π (1/8) D³
V = (1/6) π D³
Since V = 113.0937
113.0937 = (1/6) π D³
D = 6
Therefore, the diameter is 6 inches (THE THIRD OPTION)
You're dealing with "arc length" here, and the formula for that is s = r*theta, where r is the radius and theta is the central angle in radians (not degrees).
Thus, s = (12pi inches) = (10 inches)(theta), so
theta = the central angle (not the measure of the arc) = (12pi)/(10 inches), or
theta = 1.2*pi (no units of measurement)