Answer: The formula to calculate the radius of a sphere if we know the volume is: Cubic root [3V/(4∏)].
Solution:
The formula for the volume (V) of a sphere is:
V=(4∏/3) r^3
Solving for r: Multiplying both sides of the equation by 3/(4∏):
3/(4∏) V = 3/(4∏) [(4∏/3) r^3]
3V/(4∏) = r^3
Cubic root both sides of the equation (raising to the power 1/3):
Cubic root [3V/(4∏)] =Cubic root (r^3)
Cubic root [3V/(4∏)] = r
r = Cubic root [3V/(4∏)]
Step-by-step explanation:
1/2*216*height
2/216=18
so height =18.
Answer:
I wish i could help. i asked my teacher any he doesnt even know
Answer: 120/21=40/7
49/19
240/20=12/1
36/14=18/7
63/13=63/13
12/7=12/7
6/6=1/1
Step-by-step explanation:
Answer:
k = ±4
Step-by-step explanation:
Equation of the circle is:
x² + y² = 5
This means from the general form of equation of a circle;
Centre coordinates is (0, 0) and radius is; √5.
The line 2x - y + k = 0 touches the circle. Thus, perpendicular distance from centre of the circle to this line is equal to the circle radius;
Thus;
|((2 - 0) - (1 × 0) + k)|/(√(2² + 1²)) = √5
|(1 + k)|/√5 = √5
Multiply both sides by √5 to get;
|1 + k| = 5
|k| = 5 - 1
k = ±4