Answer:
x = -2 and x = 7
Step-by-step explanation:
Since this is a multiplication, you can divide the equation into two parts to find what x values would make the equation equals to 0 because when you only need one multiple to equal 0 regardless of the value of the other multiple to make the equation equal to 0.
(x + 2) = 0 = > x = -2
(x - 7) = 0 = > x = 7
Answer:
60pi = ⅓ × pi × r² × h
180 = r²h
Assuming r and h are whole numbers,
r = 3 m , h = 180/3² = 20 m
Diameter = 6 m
Or,
r = 6 m, h = 180/6² = 5 m
Diameter = 12 m
The approximate mass of the spherical weight is 51 pounds
To answer the question, we need to know what the mass of the sphere is
<h3>Mass of the sphere</h3>
The mass of the sphere m = ρV where
- ρ = density of steel = 0.284 lb/in³ and
- V = volume of sphere = 4πr³/3 where
- r = radius of sphere = 3.5 in
So, m = ρV
= ρ4πr³/3
Substituting the values of the variables into the equation, we have
m = ρ4πr³/3
= 0.284 lb/in³ × 4π(3.5 in)³/3
= 0.284 lb/in³ × 4π × 42.875 in³/3
= 48.706π lb/3
= 153.014 lb/3
= 51 lb
The approximate mass of the spherical weight is 51 pounds
Learn more about mass of spherical weight here:
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3/7= 0.428571
3/6= 0.5
3/5= 0.6
So 3/5 is the greatest of all of them.