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:
⇒
Nothing else is given, so for the two triangles to be congruent, the only possible proof is the ASA theorem.
first pairs of angles: 2x+7=x+21 => x=14
second pairs of angles: 8y-4=4y+28 =>y=8
The two triangles share the same side PR
Based on the Angle-Side-Angle Triangle Congruence theorem, these two triangles are congruent with x=14, y=8
(2x+7) +(8y-4) +Q=180 =>85
Answer:
I think it might be 1.25
Step-by-step explanation:
Answer:
Step-by-step explanation:
.<6 and <3
SOLUTION:
Interior angles that are non adjacent and lie on
opposite. In the figure, angles <5 and <4 are consecutive interior
angles. sides of the transversal are alternate interior
angles.
<4 and <7
SOLUTION:
In the figure, angles 1 and 3 are corresponding
angles. Use the Corresponding Angles Postulate:
If two parallel lines are cut by a transversal, then
each pair of corresponding angles is congruent
C it is C
I think hope this helps