Answer:
Simplifying
(20m + 3) + -1(7m + -5) = 0
Reorder the terms:
(3 + 20m) + -1(7m + -5) = 0
Remove parenthesis around (3 + 20m)
3 + 20m + -1(7m + -5) = 0
Reorder the terms:
3 + 20m + -1(-5 + 7m) = 0
3 + 20m + (-5 * -1 + 7m * -1) = 0
3 + 20m + (5 + -7m) = 0
Reorder the terms:
3 + 5 + 20m + -7m = 0
Combine like terms: 3 + 5 = 8
8 + 20m + -7m = 0
Combine like terms: 20m + -7m = 13m
8 + 13m = 0
Solving
8 + 13m = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 13m = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 13m = 0 + -8
13m = 0 + -8
Combine like terms: 0 + -8 = -8
13m = -8
Divide each side by '13'.
m = -0.6153846154
Simplifying
m = -0.6153846154Step-by-step explanation:
Volume of a sphere and a cone
We have that the equation of the volume of a sphere is given by:

We have that the radius of a sphere is half the diameter of it:
Then, the radius of this sphere is
r = 6cm/2 = 3cm
<h2>Finding the volume of a sphere</h2>
We replace r by 3 in the equation:

Since 3³ = 3 · 3 · 3 = 27

If we use π = 3.14:

Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:
4.18666... ≅ 4.19
Then, we have that:

Then, we have that:
<h2>Finding the volume of a cone</h2>
We have that the volume of a cone is given by:

where r is the radius of its base and h is the height:
Then, in this case
r = 3
h = 6
and
π = 3.14
Replacing in the equation for the volume:

Then, we have:
3² = 9

Answer: the volume of the cone that has the same circular base and height is 56.52 cm³