The formula for the volume of a sphere is V = (4/3) * π * r³. Knowing this, we can plug in the radius:

$V = \frac{4}{3} \pi *8^{3} \\ V = \frac{4}{3} \pi*512 \\ V = 2144.66$

The sphere's volume is approximately 2144.66 mm^3.

7 0

3 years ago

Two equivalent equations of the line in point slope form for (-4,8) and (0,5)

34kurt

Answer:

Equation of line 1 is 3 X - 4 Y = 20

Equation of line 2 is 3 X + 4 Y = 20

Step-by-step explanation:

Given co ordinates of points as,

( -4 , 8) and (0 , 5)

From the given two points we can determine the slop of a line

I. e slop (m) = $\frac{(y2 - y1)}{(x2 - x1)}$

Or, m = $\frac{(5 - 8)}{(0 + 4)}$

So, m = $\frac{(-3)}{(4)}$

Now equations of line can be written as ,

Y - y1 = m ( X - x1)

At points ( -4 , 8)

Y - 8 = $\frac{(-3)}{(4)}$ (X + 4)

So , Equation of line 1 is 3 X - 4 Y = 20

Again with points ( 0 , 5)

Y - 5 = $\frac{(-3)}{(4)}$ ( X - 0)

So, Equation of line 2 is 3 X + 4 Y = 20

Hence Equation of line 1 is 3 X - 4 Y = 20 and Equation of line 2 is 3 X + 4 Y = 20 Answer

4 0

3 years ago