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The answer is 15 in³.
The volume of the cone is:
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone
The volume of the cylinder is:
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone
Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂
Also:
V₁ = 5
Now, let's write two volume formulas together:
<span>
</span>
We can include V₂ into V₁:
⇒
The volume of the cone is:
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone
The volume of the cylinder is:
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone
Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂
Also:
V₁ = 5
Now, let's write two volume formulas together:
<span>
We can include V₂ into V₁:
⇒
Answer:
The equation of line for given points is y = - 40 x - 42
Step-by-step explanation:
Given two points as :
( -1 , - 2 ) and ( 3 , - 162 )
Now, Equation of line in points form
y - = m × ( x -
)
Where m is the slope of line
And, m =
or, m =
or, m =
∴ m = - 40
So, Slope of line for given points is - 40
Now equation of line can be written as
y - ( - 2 ) = ( - 40 ) × ( x - ( - 1 ) )
or, y + 2 = ( - 40 ) × ( x + 1 )
or, y + 2 = - 40 x - 40
or, y = - 40 x - 40 - 2
∴ y = - 40 x - 42
Hence the equation of line for given points is y = - 40 x - 42 Answer