Answer:
See explanation
Step-by-step explanation:
Simplify left and right parts separately.
<u>Left part:</u>
<u>Right part:</u>
Since simplified left and right parts are the same, then the equality is true.
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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 equation in the standard form is
Step-by-step explanation:
Given the points
- (6, -7)
- (4, -3)
Finding the slope between (6, -7) and (4, -3)
As the point-slope form is defined as
substituting the values m = -2 and the point (6, -7)
Writing the equation in the standard form form
As we know that the equation in the standard form is
where x and y are variables and A, B and C are constants
converting the equation in standard form
subtract 7 from both sides
Therefore, the equation in the standard form is