Answer: 
Step-by-step explanation:
Given
The volume of a sphere is 
The volume of sphere with radius r is given by

Insert the values

Therefore, the radius is 
Answer:
(b) 4.2
Step-by-step explanation:
The distance from a point to a line can be found using the formula. To use it, we need the equation of the line in general form.
We notice that the coordinates of the given points have the same y/x = 2/3 ratio. This means they lie on the line y = 2/3x. The equation for that line, written in general form is ...
y = 2/3x
3y = 2x
2x -3y = 0 . . . . . . general form equation for the line through the points.
The formula for the distance from (x, y) to the line ax+by+c=0 is ...
d = |ax +by +c|/√(a²+b²)
The distance from (x, y) to our line is given by the formula ...
d = |2x -3y|/√(2² +(-3)²)
d = |2x -3y|/√13
For point P(9, 11), the distance to the line is ...
d = |2·9 -3·11|/√13 = |18 -33|/√13 = 15/√13 ≈ 4.2
Area of the circle is πr² which corresponds to an angle of 360° subtended at the center. Thus, the area of a sector subtending angle
at the centre is:

In this case put $\theta$ equal to 30°
Answer:
y= 1/2x -5
Step-by-step explanation:
First, you multiply 1/2 with x, and 1/2 with -2, which then makes the equation
y+4=1/2x -1
then, you have to subtract 4 from both sides of the equation and combine -1 and -4, which gets you -5.
Then the equation turns out to be
y=1/2x-5