Answer:
πr²
Step-by-step explanation:
By definition, the volume of a cone is given by:

Where,
r: radius of the circular base
h: height of the cone
Let's define a variable:
x: diameter of the base
We have then that the radio is:

The height is:

Substituting values:

Rewriting:
Answer:
An expression that represents the volume of the cone, in cubic units is:
Answer:

Hence, ption B is true.
Step-by-step explanation:
Given the expression

solving the expression

as


so the expression becomes

Group like terms

Add similar elements

Therefore, we conclude that:

Hence, option B is true.
Answer:
Height of the light house 
Step-by-step explanation:
Distance of light house from boat = 100 ft
Angle of elevation from boat to the top of light house = 2°
Height above water while taking measurement = 4 ft
The figure of the situation is shown below.
For Δ ABC



Multiplying both sides by 100.


∴ 
Height of the light house 
Answer:
x = 6
Step-by-step explanation:
- <em><u>Pull out like factors:
</u></em>
-4x - 13 = -1 • (4x + 13)
- <em><u>Equation at the end of step 2:
</u></em>
-178 - (-5x + -4 • [4x + 13] ) = 0
- <em><u>Pull out like factors:
</u></em>
21x - 126 = 21 • (x - 6)
- <em><u>Equation at the end of step 4:
</u></em>
21 • (x - 6) = 0
x-6 = 0
- <em><u>Add 6 to both sides of the equation:</u></em>
x = 6