Answer:
The factored form of the given expression is 
Step-by-step explanation:
We have been given the expression 
In order to factor it completely we can check for the GCF (greatest common factor) among all the three terms
The GCF is 
On factor out the GCF, we are left with
Therefore, the factored form of the given expression is
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:
brainly.com/question/12911649
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The radius of the base is 10 cm.
Solution:
Height of a cone = 15 cm
Volume of the cone = 1570 cm³
To find the radius of the base of the cone:
Volume of the cone = 
Divide by 15.7 on both side of the equation, we get
Taking square root on both sides of the equation, we get
⇒ r = 10
Hence the radius of the base is 10 cm.
