Factorize
(3n + 8) (3n - 8) = 0
3n + 8 = 0 and 3n - 8 = 0
Solve both for n
3n + 8 = 0
3n = -8
n = -8/3
3n - 8 = 0
3n = 8
n = 8/3
Therefore n = -8/3 and n = 8/3
Here, Slope (m) = y2 - y1 / x2 - x1
m = 10 - 2 / 1 - (-3)
m = 8 / 4
m = 2
y - 10 = 2 (x - 1)
Also, y - 2 = 2(x + 3)
In short, Your Answers would be A & B
Hope this helps!
Answer in the document below.
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values.
Step One
Find the volume of the sphere.
<em>Givens</em>
r = 6 cm
<em>Formula</em>
V = (4/3) pi r^3
<em>Sub and Solve</em>
V = 4/3 pi * 6^3
V = 288 * pi
Step two
Find the radius of the cylinder
<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm
<em>Formula</em>
V = pi r^h
<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5 Divide both sides by pi
288 cm^3 = 4.5 r^2 Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2 Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer
