Answer:
Ellipses (special case is called a circle), hyperbolas, parabolas.
Step-by-step explanation:
These are all conic sections.
A conic section is defined by the cross section of a plane and a double-napped cone. There are other special cases called degenerate conics, which are lines and points (occurs when the equation does not follow the usual pattern, however, these are not considered main conics). The main types of conics are: ellipses, hyperbolas, and parabolas.
The illustration below gives more insight into the question.
I hope this helps.
Answer:
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The correct question is
Find the volume of a <span>cylinder with base area 25 pi cm squared and height 3 cm more than the radius
we know that
</span>[the volume of a cylinder]=[area of the base]*[height]
[area of the base]=25pi cm²
[area of the base]=pi*r²--------> r²=[area of the base]/pi----> r²=25pi/pi
r²=25--------> r=5 cm
the height is 3 cm more than the radius
so
height=3+5-----> height=8 cm
[the volume of a cylinder]=[25pi]*[8]------> 200pi cm³
the answer is
200pi cm³
The equation of a circle is defined by:
(x-h)^2+(y-k)^2=r^2
Where (h,k) s the center and r is the radius.
We can translate the word problem into (x+2)^2+(y-8)^2=16
:)