Answer:
The volume of the cone is 100.48 units³ approximately
Step-by-step explanation:
To find the volume of a cone with a diameter of 8 unit and height of 6 units, we will follow the steps below;
first, write down the formula for calculating the volume of a cone
v= πr²
where v is the volume of the cone
r is the radius and h is the height of the cone
from the question given, diameter d = 8 units but d=2r which implies r=d/2
r=8/2 = 4 units
Hence r= 4 units
height = 6 units
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
v= πr²
v ≈ 3.14 × 4² × 6/3
v ≈ 3.14 × 16 × 2
v ≈ 100 .48 units³
Therefore the volume of the cone is 100 .48 units³ approximately
Answer:
The traditional scale consists of two plates or bowls suspended at equal distances from a fulcrum. One plate holds an object of unknown mass (or weight), while known masses are added to the other plate until static equilibrium is achieved and the plates level off, which happens when the masses on the two plates are equal. The perfect scale rests at neutral. A
425(4)= 1700. After 4 months they would have lost $1700
Answer: (a) $6,600
(b) $28,600
<u>Step-by-step explanation:</u>
Interest (I) = Principal (P) x rate (r) x time (t)
I = 22,000(0.06)(5)
= 6,600
Accrued (A) = Principal (P) + Interest (I)
A = 22,000 + 6,600
= 28,600
Answer:
The given expression is equivalent to -x
That is 
Now Verified that the two expressions are equivalent
Step-by-step explanation:
Given that Genevieve wants to verify that One-fifth (5 x minus 20) minus one-half (4 x minus 8) is equivalent to Negative x
It can be written as below :

Now we can verify the expression is equivalent or not :
Taking LHS

( by using the distributive property )

( adding the like terms )
=RHS
Therefore LHS=RHS
Therefore the given expression is equivalent to -x
That is 
Now Verified that the two expressions are equivalent